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542035545144 = 2331713915796053
BaseRepresentation
bin1111110001100111101…
…01100000110000111000
31220211002101111122201220
413320303311200300320
532340042044421034
61053001354512040
754106101054162
oct7706365406070
91824071448656
10542035545144
1119996aa30755
1289072735620
133c162b41602
141c33dc9d932
15e17619e749
hex7e33d60c38

542035545144 has 128 divisors (see below), whose sum is σ = 1446276384000. Its totient is φ = 168692189184.

The previous prime is 542035545137. The next prime is 542035545151. The reversal of 542035545144 is 441545530245.

It is an interprime number because it is at equal distance from previous prime (542035545137) and next prime (542035545151).

It is a junction number, because it is equal to n+sod(n) for n = 542035545096 and 542035545105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89545222 + ... + 89551274.

It is an arithmetic number, because the mean of its divisors is an integer number (11299034250).

Almost surely, 2542035545144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542035545144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723138192000).

542035545144 is an abundant number, since it is smaller than the sum of its proper divisors (904240838856).

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

542035545144 is a wasteful number, since it uses less digits than its factorization.

542035545144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 42.

The spelling of 542035545144 in words is "five hundred forty-two billion, thirty-five million, five hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 139 204 278 408 417 556 834 1112 1579 1668 2363 3158 3336 4726 4737 6053 6316 7089 9452 9474 12106 12632 14178 18159 18904 18948 24212 26843 28356 36318 37896 48424 53686 56712 72636 80529 102901 107372 145272 161058 205802 214744 219481 308703 322116 411604 438962 617406 644232 658443 823208 841367 877924 1234812 1316886 1682734 1755848 2469624 2524101 2633772 3365468 3731177 5048202 5267544 6730936 7462354 9557687 10096404 11193531 14303239 14924708 19115374 20192808 22387062 28606478 28673061 29849416 38230748 42909717 44774124 57212956 57346122 76461496 85819434 89548248 114425912 114692244 162480679 171638868 229384488 324961358 343277736 487442037 649922716 974884074 1299845432 1328518493 1949768148 2657036986 3899536296 3985555479 5314073972 7971110958 10628147944 15942221916 22584814381 31884443832 45169628762 67754443143 90339257524 135508886286 180678515048 271017772572 542035545144