Search a number
-
+
431611664140 = 225178973919301
BaseRepresentation
bin1100100011111100000…
…11110101011100001100
31112021001202111021221101
412101332003311130030
524032420041223030
6530140223512444
743116511420066
oct6217603653414
91467052437841
10431611664140
11157055594568
126b795a58724
1331915891357
1416c6669a736
15b361c777ca
hex647e0f570c

431611664140 has 96 divisors (see below), whose sum is σ = 971847979200. Its totient is φ = 160437657600.

The previous prime is 431611664131. The next prime is 431611664219. The reversal of 431611664140 is 41466116134.

It is a self number, because there is not a number n which added to its sum of digits gives 431611664140.

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, 22352490 + ... + 22371790.

It is an arithmetic number, because the mean of its divisors is an integer number (10123416450).

Almost surely, 2431611664140 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 431611664140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485923989600).

431611664140 is an abundant number, since it is smaller than the sum of its proper divisors (540236315060).

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

431611664140 is a wasteful number, since it uses less digits than its factorization.

431611664140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20155 (or 20153 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 431611664140 in words is "four hundred thirty-one billion, six hundred eleven million, six hundred sixty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 340 356 445 739 890 1478 1513 1780 2956 3026 3695 6052 7390 7565 12563 14780 15130 19301 25126 30260 38602 50252 62815 65771 77204 96505 125630 131542 193010 251260 263084 328117 328855 386020 656234 657710 1118107 1312468 1315420 1640585 1717789 2236214 3281170 3435578 4472428 5590535 6562340 6871156 8588945 11181070 14263439 17177890 22362140 28526878 29202413 34355780 57053756 58404826 71317195 116809652 142634390 146012065 242478463 285268780 292024130 484956926 584048260 969913852 1212392315 1269446071 2424784630 2538892142 4849569260 5077784284 6347230355 12694460710 21580583207 25388921420 43161166414 86322332828 107902916035 215805832070 431611664140