Search a number
-
+
15411242131344 = 24324718587122509
BaseRepresentation
bin1110000001000011010110…
…0111001101111110010000
32000120022002221222012020100
43200100311213031332100
54004444210441200334
652435454335412400
73150265642503543
oct340206547157620
960508087865210
1015411242131344
114a0196445a614
12188a975984100
1387a3739a1437
143b3c9db7685a
151bad35ec9c99
hexe04359cdf90

15411242131344 has 120 divisors (see below), whose sum is σ = 44050463982720. Its totient is φ = 5027469583104.

The previous prime is 15411242131279. The next prime is 15411242131429. The reversal of 15411242131344 is 44313124211451.

15411242131344 is a `hidden beast` number, since 1 + 5 + 41 + 1 + 242 + 1 + 31 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 15411242131299 and 15411242131308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125735562 + ... + 125858070.

It is an arithmetic number, because the mean of its divisors is an integer number (367087199856).

Almost surely, 215411242131344 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 15411242131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22025231991360).

15411242131344 is an abundant number, since it is smaller than the sum of its proper divisors (28639221851376).

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

15411242131344 is a wasteful number, since it uses less digits than its factorization.

15411242131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141157 (or 141148 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 15411242131344 its reverse (44313124211451), we get a palindrome (59724366342795).

The spelling of 15411242131344 in words is "fifteen trillion, four hundred eleven billion, two hundred forty-two million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 18587 37174 55761 74348 111522 122509 148696 167283 223044 245018 297392 334566 367527 446088 490036 669132 735054 873589 892176 980072 1102581 1338264 1470108 1747178 1960144 2205162 2620767 2676528 2940216 3494356 4410324 5241534 5757923 5880432 6988712 7862301 8820648 10483068 11515846 13977424 15724602 17273769 17641296 20966136 23031692 31449204 34547538 41932272 46063384 51821307 62898408 69095076 92126768 103642614 125796816 138190152 207285228 276380304 414570456 829140912 2277074783 4554149566 6831224349 9108299132 13662448698 18216598264 20493673047 27324897396 36433196528 40987346094 54649794792 81974692188 107022514801 109299589584 163949384376 214045029602 321067544403 327898768752 428090059204 642135088806 856180118408 963202633209 1284270177612 1712360236816 1926405266418 2568540355224 3852810532836 5137080710448 7705621065672 15411242131344