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1413585144048 = 2437112913188397
BaseRepresentation
bin10100100100100000001…
…111011000100011110000
312000010201011211121200010
4110210200033120203300
5141130010244102143
63001220403254520
7204061646321010
oct24444017304360
95003634747603
101413585144048
114a5552a64070
121a9b6697a440
13a33ba2a254c
144c5bc971c40
1526b85b47a33
hex149203d88f0

1413585144048 has 160 divisors (see below), whose sum is σ = 4709840693760. Its totient is φ = 354504084480.

The previous prime is 1413585144017. The next prime is 1413585144143. The reversal of 1413585144048 is 8404415853141.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1413585143988 and 1413585144006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6487015 + ... + 6701382.

It is an arithmetic number, because the mean of its divisors is an integer number (29436504336).

Almost surely, 21413585144048 is an apocalyptic number.

It is an amenable number.

1413585144048 is an abundant number, since it is smaller than the sum of its proper divisors (3296255549712).

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

1413585144048 is a wasteful number, since it uses less digits than its factorization.

1413585144048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188455 (or 13188449 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 1413585144048 in words is "one trillion, four hundred thirteen billion, five hundred eighty-five million, one hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 132 154 168 174 176 203 231 232 264 308 319 336 348 406 462 464 528 609 616 638 696 812 924 957 1218 1232 1276 1392 1624 1848 1914 2233 2436 2552 3248 3696 3828 4466 4872 5104 6699 7656 8932 9744 13398 15312 17864 26796 35728 53592 107184 13188397 26376794 39565191 52753588 79130382 92318779 105507176 145072367 158260764 184637558 211014352 276956337 290144734 316521528 369275116 382463513 435217101 553912674 580289468 633043056 738550232 764927026 870434202 1015506569 1107825348 1147390539 1160578936 1477100464 1529854052 1740868404 2031013138 2215650696 2294781078 2321157872 2677244591 3046519707 3059708104 3481736808 4062026276 4207098643 4431301392 4589562156 5354489182 6093039414 6119416208 6963473616 8031733773 8124052552 8414197286 9179124312 10708978364 12186078828 12621295929 16063467546 16248105104 16828394572 18358248624 21417956728 24372157656 25242591858 29449690501 32126935092 33656789144 42835913456 48744315312 50485183716 58899381002 64253870184 67313578288 88349071503 100970367432 117798762004 128507740368 176698143006 201940734864 235597524008 353396286012 471195048016 706792572024 1413585144048