Search a number
-
+
54620302043240 = 23517223895140241
BaseRepresentation
bin11000110101101010001111…
…01100110110100001101000
321011101122112202120200020122
430122311013230312201220
524124344334310340430
6312100115332542412
714335121000665553
oct1432650754664150
9234348482520218
1054620302043240
111644938161188a
126161944781a08
1324628982b863b
14d6b8cb25969a
1564abeceb7ee5
hex31ad47b36868

54620302043240 has 128 divisors (see below), whose sum is σ = 130726207825920. Its totient is φ = 20467931136000.

The previous prime is 54620302043201. The next prime is 54620302043303. The reversal of 54620302043240 is 4234020302645.

It is a happy number.

54620302043240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54620302043240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357309520 + ... + 1357349760.

It is an arithmetic number, because the mean of its divisors is an integer number (1021298498640).

Almost surely, 254620302043240 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 54620302043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65363103912960).

54620302043240 is an abundant number, since it is smaller than the sum of its proper divisors (76105905782680).

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

54620302043240 is a wasteful number, since it uses less digits than its factorization.

54620302043240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49443 (or 49439 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 54620302043240 its reverse (4234020302645), we get a palindrome (58854322345885).

The spelling of 54620302043240 in words is "fifty-four trillion, six hundred twenty billion, three hundred two million, forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 223 340 446 680 892 1115 1784 2230 3791 4460 7582 8920 8951 15164 17902 18955 30328 35804 37910 40241 44755 71608 75820 80482 89510 151640 152167 160964 179020 201205 304334 321928 358040 402410 608668 684097 760835 804820 1217336 1368194 1521670 1609640 1996073 2736388 3043340 3420485 3992146 5472776 6086680 6840970 7984292 8973743 9980365 13681940 15968584 17947486 19960730 27363880 33933241 35894972 39921460 44868715 67866482 71789944 79842920 89737430 135732964 152553631 169666205 179474860 271465928 305107262 339332410 358949720 360197191 610214524 678664820 720394382 762768155 1220429048 1357329640 1440788764 1525536310 1800985955 2881577528 3051072620 3601971910 6102145240 6123352247 7203943820 12246704494 14407887640 24493408988 30616761235 48986817976 61233522470 80323973593 122467044940 160647947186 244934089880 321295894372 401619867965 642591788744 803239735930 1365507551081 1606479471860 2731015102162 3212958943720 5462030204324 6827537755405 10924060408648 13655075510810 27310151021620 54620302043240