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4141825672152 = 233749949406261
BaseRepresentation
bin111100010001011000000…
…011000100001111011000
3112122221202221201100001110
4330101120003010033120
51020324424333002102
612450421202220320
7605144205221550
oct74213003041730
915587687640043
104141825672152
1113575a1684273
1256a8690546a0
132407599988bc
14104673208160
1572b1210686c
hex3c4580c43d8

4141825672152 has 64 divisors (see below), whose sum is σ = 11857502880000. Its totient is φ = 1181007239040.

The previous prime is 4141825672147. The next prime is 4141825672181. The reversal of 4141825672152 is 2512765281414.

It is a super-2 number, since 2×41418256721522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24619299 + ... + 24786962.

It is an arithmetic number, because the mean of its divisors is an integer number (185273482500).

Almost surely, 24141825672152 is an apocalyptic number.

4141825672152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4141825672152 is an abundant number, since it is smaller than the sum of its proper divisors (7715677207848).

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

4141825672152 is a wasteful number, since it uses less digits than its factorization.

4141825672152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49406776 (or 49406772 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The spelling of 4141825672152 in words is "four trillion, one hundred forty-one billion, eight hundred twenty-five million, six hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 499 998 1497 1996 2994 3493 3992 5988 6986 10479 11976 13972 20958 27944 41916 83832 49406261 98812522 148218783 197625044 296437566 345843827 395250088 592875132 691687654 1037531481 1185750264 1383375308 2075062962 2766750616 4150125924 8300251848 24653724239 49307448478 73961172717 98614896956 147922345434 172576069673 197229793912 295844690868 345152139346 517728209019 591689381736 690304278692 1035456418038 1380608557384 2070912836076 4141825672152