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11014236405144 = 233473736509873
BaseRepresentation
bin1010000001000111001110…
…1001011111110110011000
31102222221200001221222210000
42200101303221133312120
52420424124004431034
635231511555053000
72214516021502560
oct240216351376630
942887601858700
1011014236405144
1135671253458a5
12129a7715a1160
1361b83a9c571b
142a11401c9da0
1514178b438599
hexa0473a5fd98

11014236405144 has 160 divisors (see below), whose sum is σ = 35351740559520. Its totient is φ = 3138487409664.

The previous prime is 11014236405101. The next prime is 11014236405173. The reversal of 11014236405144 is 44150463241011.

11014236405144 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 4 + 2 + 3 + 640 + 5 + 1 + 4 + 4 = 666.

11014236405144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11014236405099 and 11014236405108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1563009 + ... + 4946864.

It is an arithmetic number, because the mean of its divisors is an integer number (220948378497).

Almost surely, 211014236405144 is an apocalyptic number.

11014236405144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11014236405144 is an abundant number, since it is smaller than the sum of its proper divisors (24337504154376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11014236405144 is a wasteful number, since it uses less digits than its factorization.

11014236405144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6510271 (or 6510258 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 11014236405144 its reverse (44150463241011), we get a palindrome (55164699646155).

The spelling of 11014236405144 in words is "eleven trillion, fourteen billion, two hundred thirty-six million, four hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 373 378 504 567 648 746 756 1119 1134 1492 1512 2238 2268 2611 2984 3357 4476 4536 5222 6714 7833 8952 10071 10444 13428 15666 20142 20888 23499 26856 30213 31332 40284 46998 60426 62664 70497 80568 93996 120852 140994 187992 211491 241704 281988 422982 563976 845964 1691928 6509873 13019746 19529619 26039492 39059238 45569111 52078984 58588857 78118476 91138222 117177714 136707333 156236952 175766571 182276444 234355428 273414666 351533142 364552888 410121999 468710856 527299713 546829332 703066284 820243998 1054599426 1093658664 1230365997 1406132568 1640487996 2109198852 2428182629 2460731994 3280975992 3691097991 4218397704 4856365258 4921463988 7284547887 7382195982 9712730516 9842927976 14569095774 14764391964 16997278403 19425461032 21853643661 29138191548 29528783928 33994556806 43707287322 50991835209 58276383096 65560930983 67989113612 87414574644 101983670418 131121861966 135978227224 152975505627 174829149288 196682792949 203967340836 262243723932 305951011254 393365585898 407934681672 458926516881 524487447864 611902022508 786731171796 917853033762 1223804045016 1376779550643 1573462343592 1835706067524 2753559101286 3671412135048 5507118202572 11014236405144