Search a number
-
+
461625392340 = 2232571383126489
BaseRepresentation
bin1101011011110110000…
…01000111110011010100
31122010112110121122212100
412231323001013303110
530030402100023330
6552022350122100
745231336043620
oct6557301076324
91563473548770
10461625392340
11168857554812
12755714b0330
13346b9a51c38
14184b287a180
15c01bbb4060
hex6b7b047cd4

461625392340 has 144 divisors (see below), whose sum is σ = 1600477482240. Its totient is φ = 105502763520.

The previous prime is 461625392309. The next prime is 461625392383. The reversal of 461625392340 is 43293526164.

461625392340 is a `hidden beast` number, since 4 + 616 + 2 + 5 + 3 + 9 + 23 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17413816 + ... + 17440304.

It is an arithmetic number, because the mean of its divisors is an integer number (11114426960).

Almost surely, 2461625392340 is an apocalyptic number.

It is an amenable number.

461625392340 is an abundant number, since it is smaller than the sum of its proper divisors (1138852089900).

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

461625392340 is a wasteful number, since it uses less digits than its factorization.

461625392340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40342 (or 40337 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 461625392340 in words is "four hundred sixty-one billion, six hundred twenty-five million, three hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 13831 26489 27662 41493 52978 55324 69155 79467 82986 96817 105956 124479 132445 138310 158934 165972 185423 193634 207465 238401 248958 264890 276620 290451 317868 370846 387268 397335 414930 476802 484085 497916 529780 556269 580902 622395 741692 794670 829860 871353 927115 953604 968170 1112538 1161804 1192005 1244790 1452255 1589340 1668807 1742706 1854230 1936340 2225076 2384010 2489580 2781345 2904510 3337614 3485412 3708460 4356765 4768020 5562690 5809020 6675228 8344035 8713530 11125380 16688070 17427060 33376140 366369359 732738718 1099108077 1465477436 1831846795 2198216154 2564585513 3297324231 3663693590 4396432308 5129171026 5495540385 6594648462 7327387180 7693756539 10258342052 10991080770 12822927565 13189296924 15387513078 16486621155 21982161540 23081269617 25645855130 30775026156 32973242310 38468782695 46162539234 51291710260 65946484620 76937565390 92325078468 115406348085 153875130780 230812696170 461625392340