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1125141142440 = 233574331150087
BaseRepresentation
bin10000010111110111101…
…000110101101110101000
310222120012000120010120110
4100113313220311232220
5121413242113024230
62220514355254320
7144201021624630
oct20276750655650
93876160503513
101125141142440
113a419592a467
121620875aa3a0
138213c62bb13
143c6584b16c0
151e402c534b0
hex105f7a35ba8

1125141142440 has 128 divisors (see below), whose sum is σ = 3947339151360. Its totient is φ = 251194293504.

The previous prime is 1125141142417. The next prime is 1125141142451. The reversal of 1125141142440 is 442411415211.

It is a super-2 number, since 2×11251411424402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1125141142398 and 1125141142407.

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, 15538924 + ... + 15611163.

It is an arithmetic number, because the mean of its divisors is an integer number (30838587120).

Almost surely, 21125141142440 is an apocalyptic number.

1125141142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125141142440 is an abundant number, since it is smaller than the sum of its proper divisors (2822198008920).

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

1125141142440 is a wasteful number, since it uses less digits than its factorization.

1125141142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31150151 (or 31150147 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 1125141142440 its reverse (442411415211), we get a palindrome (1567552557651).

The spelling of 1125141142440 in words is "one trillion, one hundred twenty-five billion, one hundred forty-one million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3612 4515 5160 6020 7224 9030 12040 18060 36120 31150087 62300174 93450261 124600348 155750435 186900522 218050609 249200696 311500870 373801044 436101218 467251305 623001740 654151827 747602088 872202436 934502610 1090253045 1246003480 1308303654 1339453741 1744404872 1869005220 2180506090 2616607308 2678907482 3270759135 3738010440 4018361223 4361012180 5233214616 5357814964 6541518270 6697268705 8036722446 8722024360 9376176187 10715629928 13083036540 13394537410 16073444892 18752352374 20091806115 26166073080 26789074820 28128528561 32146889784 37504704748 40183612230 46880880935 53578149640 56257057122 75009409496 80367224460 93761761870 112514114244 140642642805 160734448920 187523523740 225028228488 281285285610 375047047480 562570571220 1125141142440