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1400132410044 = 2231973293287107
BaseRepresentation
bin10100010111111110011…
…001010001101010111100
311221211222122010220220120
4110113332121101222330
5140414432344110134
62551113440414540
7203104405056114
oct24277631215274
94854878126816
101400132410044
1149a87a275985
121a7431617450
13a2055187604
144baa4036044
1526649ab7649
hex145fe651abc

1400132410044 has 96 divisors (see below), whose sum is σ = 3497940122880. Its totient is φ = 434600391168.

The previous prime is 1400132410021. The next prime is 1400132410073. The reversal of 1400132410044 is 4400142310041.

It is a junction number, because it is equal to n+sod(n) for n = 1400132409996 and 1400132410023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4733139 + ... + 5020245.

It is an arithmetic number, because the mean of its divisors is an integer number (36436876280).

Almost surely, 21400132410044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400132410044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748970061440).

1400132410044 is an abundant number, since it is smaller than the sum of its proper divisors (2097807712836).

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

1400132410044 is a wasteful number, since it uses less digits than its factorization.

1400132410044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287499 (or 287497 counting only the distinct ones).

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

Adding to 1400132410044 its reverse (4400142310041), we get a palindrome (5800274720085).

The spelling of 1400132410044 in words is "one trillion, four hundred billion, one hundred thirty-two million, four hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 114 146 219 228 292 293 438 586 876 879 1172 1387 1758 2774 3516 4161 5548 5567 8322 11134 16644 16701 21389 22268 33402 42778 64167 66804 85556 128334 256668 287107 406391 574214 812782 861321 1148428 1219173 1625564 1722642 2438346 3445284 4876692 5455033 10910066 16365099 20958811 21820132 32730198 41917622 62876433 65460396 83835244 84122351 125752866 168244702 251505732 252367053 336489404 398217409 504734106 796434818 1009468212 1194652227 1592869636 1598324669 2389304454 3196649338 4778608908 4794974007 6140931623 6393298676 9589948014 12281863246 18422794869 19179896028 24563726492 36845589738 73691179476 116677700837 233355401674 350033102511 466710803348 700066205022 1400132410044