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4661146325440 = 2651111243117779
BaseRepresentation
bin100001111010100000111…
…1110001001000111000000
3121111121020022010221001101
41003311001332021013000
51102332011424403230
613525145010144144
7660520360023403
oct103650176110700
917447208127041
104661146325440
111537865648520
12633440582054
1327a70c8337a7
1412185a3d3d3a
15813a9012aca
hex43d41f891c0

4661146325440 has 112 divisors (see below), whose sum is σ = 12109566718080. Its totient is φ = 1694797153280.

The previous prime is 4661146325419. The next prime is 4661146325449. The reversal of 4661146325440 is 445236411664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661146325449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39516471 + ... + 39634249.

Almost surely, 24661146325440 is an apocalyptic number.

4661146325440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4661146325440 is an abundant number, since it is smaller than the sum of its proper divisors (7448420392640).

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

4661146325440 is a wasteful number, since it uses less digits than its factorization.

4661146325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129050 (or 129040 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 4661146325440 in words is "four trillion, six hundred sixty-one billion, one hundred forty-six million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 11243 22486 44972 56215 89944 112430 117779 123673 179888 224860 235558 247346 359776 449720 471116 494692 588895 618365 719552 899440 942232 989384 1177790 1236730 1295569 1798880 1884464 1978768 2355580 2473460 2591138 3597760 3768928 3957536 4711160 4946920 5182276 6477845 7537856 7915072 9422320 9893840 10364552 12955690 18844640 19787680 20729104 25911380 37689280 39575360 41458208 51822760 82916416 103645520 207291040 414582080 1324189297 2648378594 5296757188 6620946485 10593514376 13241892970 14566082267 21187028752 26483785940 29132164534 42374057504 52967571880 58264329068 72830411335 84748115008 105935143760 116528658136 145660822670 211870287520 233057316272 291321645340 423740575040 466114632544 582643290680 932229265088 1165286581360 2330573162720 4661146325440