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142055153200520 = 23572333360760289
BaseRepresentation
bin100000010011001011001010…
…111100011110110110001000
3200121222100011212120021100122
4200103023022330132312020
5122104412423204404040
61222043123024322412
741631101060204120
oct4023131274366610
9617870155507318
10142055153200520
114129928567a98a
1213b232a7473408
136135988522c61
142711712a4bc80
1511652a94781b5
hex8132caf1ed88

142055153200520 has 128 divisors (see below), whose sum is σ = 365548630233600. Its totient is φ = 48669443260416.

The previous prime is 142055153200517. The next prime is 142055153200553. The reversal of 142055153200520 is 25002351550241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 2356206536 + ... + 2356266824.

It is an arithmetic number, because the mean of its divisors is an integer number (2855848673700).

Almost surely, 2142055153200520 is an apocalyptic number.

142055153200520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142055153200520 is an abundant number, since it is smaller than the sum of its proper divisors (223493477033080).

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

142055153200520 is a wasteful number, since it uses less digits than its factorization.

142055153200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66247 (or 66243 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 142055153200520 in words is "one hundred forty-two trillion, fifty-five billion, one hundred fifty-three million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2333 3607 4666 7214 9332 11665 14428 16331 18035 18664 23330 25249 28856 32662 36070 46660 50498 60289 65324 72140 81655 93320 100996 120578 126245 130648 144280 163310 201992 241156 252490 301445 326620 422023 482312 504980 602890 653240 844046 1009960 1205780 1688092 2110115 2411560 3376184 4220230 8415131 8440460 16830262 16880920 33660524 42075655 58905917 67321048 84151310 117811834 140654237 168302620 217462423 235623668 281308474 294529585 336605240 434924846 471247336 562616948 589059170 703271185 869849692 984579659 1087312115 1125233896 1178118340 1406542370 1522236961 1739699384 1969159318 2174624230 2356236680 2813084740 3044473922 3938318636 4349248460 4922898295 5626169480 6088947844 7611184805 7876637272 8698496920 9845796590 12177895688 15222369610 19691593180 30444739220 39383186360 60889478440 507339832859 1014679665718 2029359331436 2536699164295 3551378830013 4058718662872 5073398328590 7102757660026 10146796657180 14205515320052 17756894150065 20293593314360 28411030640104 35513788300130 71027576600260 142055153200520