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141004410320 = 245113101915307
BaseRepresentation
bin1000001101010010000…
…1001000110111010000
3111110221211200012200102
42003110201020313100
54302234112112240
6144435421511532
713121135466164
oct2032441106720
9443854605612
10141004410320
115488834a514
12233b21125a8
13103b19b4727
146b78ba6ca4
153a03ec4815
hex20d4848dd0

141004410320 has 80 divisors (see below), whose sum is σ = 331082648640. Its totient is φ = 55844124672.

The previous prime is 141004410277. The next prime is 141004410353. The reversal of 141004410320 is 23014400141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141004410292 and 141004410301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9204107 + ... + 9219413.

It is an arithmetic number, because the mean of its divisors is an integer number (4138533108).

Almost surely, 2141004410320 is an apocalyptic number.

141004410320 is a gapful number since it is divisible by the number (10) 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 141004410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165541324320).

141004410320 is an abundant number, since it is smaller than the sum of its proper divisors (190078238320).

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

141004410320 is a wasteful number, since it uses less digits than its factorization.

141004410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16452 (or 16446 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 141004410320 its reverse (23014400141), we get a palindrome (164018810461).

The spelling of 141004410320 in words is "one hundred forty-one billion, four million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1019 1130 1808 2038 2260 4076 4520 5095 8152 9040 10190 15307 16304 20380 30614 40760 61228 76535 81520 115147 122456 153070 230294 244912 306140 460588 575735 612280 921176 1151470 1224560 1729691 1842352 2302940 3459382 4605880 6918764 8648455 9211760 13837528 15597833 17296910 27675056 31195666 34593820 62391332 69187640 77989165 124782664 138375280 155978330 249565328 311956660 623913320 1247826640 1762555129 3525110258 7050220516 8812775645 14100441032 17625551290 28200882064 35251102580 70502205160 141004410320