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2145444305144 = 237243831533503
BaseRepresentation
bin11111001110000110011…
…100100001100011111000
321121002202200222002100112
4133032012130201203320
5240122332220231034
64321334205123452
7311001052462100
oct37160634414370
97532680862315
102145444305144
11757972418a68
122a7974b59588
131274120397aa
1475ba9198200
153ac1bb6b7ce
hex1f3867218f8

2145444305144 has 96 divisors (see below), whose sum is σ = 4845995320320. Its totient is φ = 887271989184.

The previous prime is 2145444305083. The next prime is 2145444305159. The reversal of 2145444305144 is 4415034445412.

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, 632297 + ... + 2165799.

It is an arithmetic number, because the mean of its divisors is an integer number (50479117920).

Almost surely, 22145444305144 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 2145444305144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422997660160).

2145444305144 is an abundant number, since it is smaller than the sum of its proper divisors (2700551015176).

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

2145444305144 is a wasteful number, since it uses less digits than its factorization.

2145444305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533649 (or 1533638 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 41.

The spelling of 2145444305144 in words is "two trillion, one hundred forty-five billion, four hundred forty-four million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 49 56 83 86 98 166 172 196 301 332 344 392 581 602 664 1162 1204 2107 2324 2408 3569 4067 4214 4648 7138 8134 8428 14276 16268 16856 24983 28552 32536 49966 99932 174881 199864 349762 699524 1399048 1533503 3067006 6134012 10734521 12268024 21469042 42938084 65940629 75141647 85876168 127280749 131881258 150283294 254561498 263762516 300566588 461584403 509122996 527525032 601133176 890965243 923168806 1018245992 1781930486 1846337612 3231090821 3563860972 3692675224 5473072207 6236756701 6462181642 7127721944 10946144414 12473513402 12924363284 21892288828 24947026804 25848726568 38311505449 43784577656 49894053608 76623010898 153246021796 268180538143 306492043592 536361076286 1072722152572 2145444305144