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1438082157348 = 223479157357859
BaseRepresentation
bin10100111011010100011…
…000000100101100100100
312002110221102021211110000
4110323110120010230210
5142030143013013343
63020351255301300
7205620005435604
oct24732430045444
95073842254400
101438082157348
11504983983801
121b286297a830
13a57c25493a5
144d8641c6c04
152761b5b1ed3
hex14ed4604b24

1438082157348 has 120 divisors (see below), whose sum is σ = 3831277788800. Its totient is φ = 470276943552.

The previous prime is 1438082157179. The next prime is 1438082157401. The reversal of 1438082157348 is 8437512808341.

1438082157348 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 0 + 8 + 21 + 573 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1438082157294 and 1438082157303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3839643 + ... + 4197501.

Almost surely, 21438082157348 is an apocalyptic number.

1438082157348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1438082157348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915638894400).

1438082157348 is an abundant number, since it is smaller than the sum of its proper divisors (2393195631452).

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

1438082157348 is a wasteful number, since it uses less digits than its factorization.

1438082157348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358111 (or 358100 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1438082157348 in words is "one trillion, four hundred thirty-eight billion, eighty-two million, one hundred fifty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 157 158 162 237 314 316 324 471 474 628 711 942 948 1413 1422 1884 2133 2826 2844 4239 4266 5652 6399 8478 8532 12403 12717 12798 16956 24806 25434 25596 37209 49612 50868 74418 111627 148836 223254 334881 357859 446508 669762 715718 1004643 1073577 1339524 1431436 2009286 2147154 3220731 4018572 4294308 6441462 9662193 12882924 19324386 28270861 28986579 38648772 56183863 56541722 57973158 84812583 112367726 113083444 115946316 168551589 169625166 224735452 254437749 337103178 339250332 505654767 508875498 674206356 763313247 1011309534 1017750996 1516964301 1526626494 2022619068 2289939741 3033928602 3053252988 4438525177 4550892903 4579879482 6067857204 8877050354 9101785806 9159758964 13315575531 17754100708 18203571612 26631151062 39946726593 53262302124 79893453186 119840179779 159786906372 239680359558 359520539337 479360719116 719041078674 1438082157348