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140100252552 = 233213239362549
BaseRepresentation
bin1000001001111010100…
…0000011001110001000
3111101121211100020101200
42002132220003032020
54243411131040202
6144210002344200
713056546332541
oct2023650031610
9441554306350
10140100252552
1154463a38397
122319b35b060
1310299593730
146ad0a874c8
15399e925e1c
hex209ea03388

140100252552 has 96 divisors (see below), whose sum is σ = 408803031000. Its totient is φ = 43089067008.

The previous prime is 140100252541. The next prime is 140100252619. The reversal of 140100252552 is 255252001041.

140100252552 is a `hidden beast` number, since 1 + 4 + 0 + 100 + 2 + 5 + 2 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102613871556 + 37486380996 = 320334^2 + 193614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208574 + ... + 2271122.

Almost surely, 2140100252552 is an apocalyptic number.

140100252552 is a gapful number since it is divisible by the number (12) 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 140100252552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204401515500).

140100252552 is an abundant number, since it is smaller than the sum of its proper divisors (268702778448).

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

140100252552 is a wasteful number, since it uses less digits than its factorization.

140100252552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64967 (or 64960 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 140100252552 its reverse (255252001041), we get a palindrome (395352253593).

The spelling of 140100252552 in words is "one hundred forty billion, one hundred million, two hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2393 4786 7179 9572 14358 19144 21537 28716 31109 43074 57432 62218 62549 86148 93327 124436 125098 172296 186654 187647 248872 250196 279981 373308 375294 500392 559962 562941 746616 750588 813137 1119924 1125882 1501176 1626274 2239848 2251764 2439411 3252548 4503528 4878822 6505096 7318233 9757644 14636466 19515288 29272932 58545864 149679757 299359514 449039271 598719028 898078542 1197438056 1347117813 1796157084 1945836841 2694235626 3592314168 3891673682 5388471252 5837510523 7783347364 10776942504 11675021046 15566694728 17512531569 23350042092 35025063138 46700084184 70050126276 140100252552