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140200325334 = 23437172113591
BaseRepresentation
bin1000001010010010010…
…1110011000011010110
3111101212210122110110000
42002210211303003112
54244112240402314
6144223535312130
713062203050116
oct2024445630326
9441783573400
10140200325334
1154505479573
122320897b646
13102b42313b4
146b00097046
1539a85e2209
hex20a49730d6

140200325334 has 80 divisors (see below), whose sum is σ = 322854418656. Its totient is φ = 45440611200.

The previous prime is 140200325327. The next prime is 140200325341. The reversal of 140200325334 is 433523002041.

140200325334 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 0 + 0 + 325 + 334 = 666.

It is an interprime number because it is at equal distance from previous prime (140200325327) and next prime (140200325341).

It is a super-2 number, since 2×1402003253342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 140200325298 and 140200325307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10308879 + ... + 10322469.

Almost surely, 2140200325334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140200325334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161427209328).

140200325334 is an abundant number, since it is smaller than the sum of its proper divisors (182654093322).

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

140200325334 is a wasteful number, since it uses less digits than its factorization.

140200325334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15363 (or 15354 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 140200325334 its reverse (433523002041), we get a palindrome (573723327375).

The spelling of 140200325334 in words is "one hundred forty billion, two hundred million, three hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1721 1998 2997 3442 5163 5994 10326 13591 15489 27182 30978 40773 46467 63677 81546 92934 122319 127354 139401 191031 244638 278802 366957 382062 502867 573093 733914 1005734 1100871 1146186 1508601 1719279 2201742 3017202 3438558 4525803 5157837 9051606 10315674 13577409 23390111 27154818 40732227 46780222 70170333 81464454 140340666 210510999 421021998 631532997 865434107 1263065994 1730868214 1894598991 2596302321 3789197982 5192604642 7788906963 15577813926 23366720889 46733441778 70100162667 140200325334