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15628142940144 = 2437265211018957
BaseRepresentation
bin1110001101101011010111…
…1010001000111111110000
32001100000222011002220220020
43203122311322020333300
54022022414043041034
653123245244443440
73202044644115600
oct343326572107760
961300864086806
1015628142940144
114a859492a0599
121904a09549580
1389495c594397
143c05986b6c00
151c17cd081249
hexe36b5e88ff0

15628142940144 has 120 divisors (see below), whose sum is σ = 46971412329168. Its totient is φ = 4464494576640.

The previous prime is 15628142940133. The next prime is 15628142940187. The reversal of 15628142940144 is 44104924182651.

It is a congruent number.

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, 14827914 + ... + 15846870.

Almost surely, 215628142940144 is an apocalyptic number.

15628142940144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15628142940144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23485706164584).

15628142940144 is an abundant number, since it is smaller than the sum of its proper divisors (31343269389024).

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

15628142940144 is a wasteful number, since it uses less digits than its factorization.

15628142940144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025503 (or 1025490 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 15628142940144 in words is "fifteen trillion, six hundred twenty-eight billion, one hundred forty-two million, nine hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 6521 13042 19563 26084 39126 45647 52168 78252 91294 104336 136941 156504 182588 273882 313008 319529 365176 547764 639058 730352 958587 1018957 1095528 1278116 1917174 2037914 2191056 2556232 3056871 3834348 4075828 5112464 6113742 7132699 7668696 8151656 12227484 14265398 15337392 16303312 21398097 24454968 28530796 42796194 48909936 49928893 57061592 85592388 99857786 114123184 149786679 171184776 199715572 299573358 342369552 399431144 599146716 798862288 1198293432 2396586864 6644618597 13289237194 19933855791 26578474388 39867711582 46512330179 53156948776 79735423164 93024660358 106313897552 139536990537 159470846328 186049320716 279073981074 318941692656 325586311253 372098641432 558147962148 651172622506 744197282864 976758933759 1116295924296 1302345245012 1953517867518 2232591848592 2604690490024 3907035735036 5209380980048 7814071470072 15628142940144