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2554401532144 = 247112316080287
BaseRepresentation
bin100101001010111110001…
…100100010100011110000
3100001012100122010201211111
4211022332030202203300
5313322403243012034
65233250441523104
7352356310526410
oct45127614424360
910035318121744
102554401532144
118a5352087600
12353087aa3494
13156b57300347
148b8c2bda640
15466a4ae3364
hex252be3228f0

2554401532144 has 120 divisors (see below), whose sum is σ = 6417671020544. Its totient is φ = 963117302400.

The previous prime is 2554401532141. The next prime is 2554401532181. The reversal of 2554401532144 is 4412351044552.

It is a super-2 number, since 2×25544015321442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2554401532097 and 2554401532106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554401532141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2620032 + ... + 3460255.

Almost surely, 22554401532144 is an apocalyptic number.

It is an amenable number.

2554401532144 is an abundant number, since it is smaller than the sum of its proper divisors (3863269488400).

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

2554401532144 is a wasteful number, since it uses less digits than its factorization.

2554401532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080355 (or 6080338 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 2554401532144 its reverse (4412351044552), we get a palindrome (6966752576696).

The spelling of 2554401532144 in words is "two trillion, five hundred fifty-four billion, four hundred one million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 121 124 154 176 217 242 248 308 341 434 484 496 616 682 847 868 968 1232 1364 1694 1736 1936 2387 2728 3388 3472 3751 4774 5456 6776 7502 9548 13552 15004 19096 26257 30008 38192 52514 60016 105028 210056 420112 6080287 12160574 24321148 42562009 48642296 66883157 85124018 97284592 133766314 170248036 188488897 267532628 340496072 376977794 468182099 535065256 680992144 735714727 753955588 936364198 1070130512 1319422279 1471429454 1507911176 1872728396 2073377867 2638844558 2942858908 3015822352 3745456792 4146755734 5150003089 5277689116 5885717816 7490913584 8293511468 10300006178 10555378232 11771435632 14513645069 16587022936 20600012356 21110756464 22807156537 29027290138 33174045872 41200024712 45614313074 58054580276 82400049424 91228626148 116109160552 159650095759 182457252296 232218321104 319300191518 364914504592 638600383036 1277200766072 2554401532144