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51140150653240 = 235114119991418119
BaseRepresentation
bin10111010000010111111101…
…00000110111000100111000
320201001221200000202112202201
423220023332200313010320
523200340012031400430
6300433243314435544
713525516415156545
oct1350137640670470
9221057600675681
1051140150653240
1115327463906130
12589b378b92bb4
13226c65984ab1c
14c8b2a7297bcc
155da4154558ca
hex2e82fe837138

51140150653240 has 128 divisors (see below), whose sum is σ = 128651846400000. Its totient is φ = 18133758489600.

The previous prime is 51140150653219. The next prime is 51140150653259. The reversal of 51140150653240 is 4235605104115.

51140150653240 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 51140150653240.

It is a congruent number.

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, 35352901 + ... + 36771019.

It is an arithmetic number, because the mean of its divisors is an integer number (1005092550000).

Almost surely, 251140150653240 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 51140150653240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64325923200000).

51140150653240 is an abundant number, since it is smaller than the sum of its proper divisors (77511695746760).

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

51140150653240 is a wasteful number, since it uses less digits than its factorization.

51140150653240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420181 (or 1420177 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 51140150653240 its reverse (4235605104115), we get a palindrome (55375755757355).

The spelling of 51140150653240 in words is "fifty-one trillion, one hundred forty billion, one hundred fifty million, six hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 1999 2255 3608 3998 4510 7996 9020 9995 15992 18040 19990 21989 39980 43978 79960 81959 87956 109945 163918 175912 219890 327836 409795 439780 655672 819590 879560 901549 1418119 1639180 1803098 2836238 3278360 3606196 4507745 5672476 7090595 7212392 9015490 11344952 14181190 15599309 18030980 28362380 31198618 36061960 56724760 58142879 62397236 77996545 116285758 124794472 155993090 232571516 290714395 311986180 465143032 581428790 623972360 639571669 1162857580 1279143338 2325715160 2558286676 2834819881 3197858345 5116573352 5669639762 6395716690 11339279524 12791433380 14174099405 22678559048 25582866760 28348198810 31183018691 56696397620 62366037382 113392795240 116227615121 124732074764 155915093455 232455230242 249464149528 311830186910 464910460484 581138075605 623660373820 929820920968 1162276151210 1247320747640 1278503766331 2324552302420 2557007532662 4649104604840 5114015065324 6392518831655 10228030130648 12785037663310 25570075326620 51140150653240