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53505025141400 = 2352727176897133
BaseRepresentation
bin11000010101001100111000…
…00001000110101010011000
321000110000211012022212220122
430022212130001012222120
524003111242414011100
6305443511430212412
714161416254513600
oct1412463401065230
9230400735285818
1053505025141400
1116059398901388
1260017707b4108
1323b166b4c2ba1
14d2d92ac8bc00
1562bbc6257985
hex30a99c046a98

53505025141400 has 144 divisors (see below), whose sum is σ = 146747414640240. Its totient is φ = 18086205446400.

The previous prime is 53505025141391. The next prime is 53505025141429. The reversal of 53505025141400 is 414152050535.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37752767 + ... + 39144366.

It is an arithmetic number, because the mean of its divisors is an integer number (1019079268335).

Almost surely, 253505025141400 is an apocalyptic number.

53505025141400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53505025141400 is an abundant number, since it is smaller than the sum of its proper divisors (93242389498840).

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

53505025141400 is a wasteful number, since it uses less digits than its factorization.

53505025141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76897234 (or 76897218 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 53505025141400 its reverse (414152050535), we get a palindrome (53919177191935).

The spelling of 53505025141400 in words is "fifty-three trillion, five hundred five billion, twenty-five million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 71 98 100 140 142 175 196 200 245 280 284 350 355 392 490 497 568 700 710 980 994 1225 1400 1420 1775 1960 1988 2450 2485 2840 3479 3550 3976 4900 4970 6958 7100 9800 9940 12425 13916 14200 17395 19880 24850 27832 34790 49700 69580 86975 99400 139160 173950 347900 695800 76897133 153794266 307588532 384485665 538279931 615177064 768971330 1076559862 1537942660 1922428325 2153119724 2691399655 3075885320 3767959517 3844856650 4306239448 5382799310 5459696443 7535919034 7689713300 10765598620 10919392886 13456998275 15071838068 15379426600 18839797585 21531197240 21838785772 26913996550 27298482215 30143676136 37679595170 38217875101 43677571544 53827993100 54596964430 75359190340 76435750202 94198987925 107655986200 109193928860 136492411075 150718380680 152871500404 188397975850 191089375505 218387857720 267525125707 272984822150 305743000808 376795951700 382178751010 535050251414 545969644300 753591903400 764357502020 955446877525 1070100502828 1091939288600 1337625628535 1528715004040 1910893755050 2140201005656 2675251257070 3821787510100 5350502514140 6688128142675 7643575020200 10701005028280 13376256285350 26752512570700 53505025141400