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4252720305141 = 3272112337195233
BaseRepresentation
bin111101111000101001111…
…000100001001111110101
3120001120000101112101011200
4331320221320201033311
51024134032344231031
613013401151123113
7616151242105500
oct75705170411765
916046011471150
104252720305141
11139a628820390
12588257513499
1324b050630329
14109b9314c137
1575952a1a8e6
hex3de29e213f5

4252720305141 has 144 divisors (see below), whose sum is σ = 7841181853440. Its totient is φ = 2196244592640.

The previous prime is 4252720305083. The next prime is 4252720305143. The reversal of 4252720305141 is 1415030272524.

4252720305141 is a `hidden beast` number, since 42 + 5 + 2 + 72 + 0 + 30 + 514 + 1 = 666.

It is not a de Polignac number, because 4252720305141 - 215 = 4252720272373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4252720305096 and 4252720305105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252720305143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 812670861 + ... + 812676093.

It is an arithmetic number, because the mean of its divisors is an integer number (54452651760).

Almost surely, 24252720305141 is an apocalyptic number.

It is an amenable number.

4252720305141 is a deficient number, since it is larger than the sum of its proper divisors (3588461548299).

4252720305141 is a wasteful number, since it uses less digits than its factorization.

4252720305141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6216 (or 6206 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 4252720305141 its reverse (1415030272524), we get a palindrome (5667750577665).

The spelling of 4252720305141 in words is "four trillion, two hundred fifty-two billion, seven hundred twenty million, three hundred five thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 233 441 539 693 699 719 1617 1631 2097 2157 2563 4851 4893 5033 5233 6471 7689 7909 11417 14679 15099 15699 17941 23067 23727 34251 35231 36631 45297 47097 53823 55363 57563 71181 102753 105693 109893 125587 161469 166089 167527 172689 256417 317079 329679 376761 387541 402941 498267 502581 518067 769251 1130283 1162623 1172689 1208823 1219289 1507743 1842797 2307753 2820587 3487869 3518067 3626469 3657867 3762527 5528391 8208823 8461761 8535023 10554201 10973601 11287581 12899579 13412179 16585173 24626469 25385283 25605069 26337689 33862743 38698737 40236537 41387797 59745161 73879407 76815207 79013067 90297053 93885253 116096211 120709611 124163391 179235483 184363823 237039201 270891159 281655759 289714579 372490173 537706449 553091469 657196771 812673477 844967277 869143737 876668791 1659274407 1971590313 2028002053 2607431211 2630006373 5914770939 6084006159 6136681537 7890019119 9643356701 18252018477 18410044611 28930070103 42956770759 55230133833 67503496907 86790210309 128870312277 202510490721 386610936831 472524478349 607531472163 1417573435047 4252720305141