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114003400021440 = 2635457259854577
BaseRepresentation
bin11001111010111101111100…
…001010010101010111000000
3112221122121200221222110122020
4121322331330022111113000
5104420312430401141230
61042244234452041440
733004321346316636
oct3172757412252700
9487577627873566
10114003400021440
1133363630282236
1210952758003280
134b7c6225cc6a7
142021b18a55356
15d2a753e2b810
hex67af7c2955c0

114003400021440 has 112 divisors (see below), whose sum is σ = 362752833214752. Its totient is φ = 30334383783936.

The previous prime is 114003400021403. The next prime is 114003400021447. The reversal of 114003400021440 is 44120004300411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114003400021440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114003400021447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129488569 + ... + 130366008.

Almost surely, 2114003400021440 is an apocalyptic number.

114003400021440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114003400021440 is an abundant number, since it is smaller than the sum of its proper divisors (248749433193312).

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

114003400021440 is a wasteful number, since it uses less digits than its factorization.

114003400021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259855054 (or 259855044 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114003400021440 its reverse (44120004300411), we get a palindrome (158123404321851).

The spelling of 114003400021440 in words is "one hundred fourteen trillion, three billion, four hundred million, twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 457 480 914 960 1371 1828 2285 2742 3656 4570 5484 6855 7312 9140 10968 13710 14624 18280 21936 27420 29248 36560 43872 54840 73120 87744 109680 146240 219360 438720 259854577 519709154 779563731 1039418308 1299272885 1559127462 2078836616 2598545770 3118254924 3897818655 4157673232 5197091540 6236509848 7795637310 8315346464 10394183080 12473019696 15591274620 16630692928 20788366160 24946039392 31182549240 41576732320 49892078784 62365098480 83153464640 118753541689 124730196960 237507083378 249460393920 356260625067 475014166756 593767708445 712521250134 950028333512 1187535416890 1425042500268 1781303125335 1900056667024 2375070833780 2850085000536 3562606250670 3800113334048 4750141667560 5700170001072 7125212501340 7600226668096 9500283335120 11400340002144 14250425002680 19000566670240 22800680004288 28500850005360 38001133340480 57001700010720 114003400021440