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2034480027904 = 2823923732
BaseRepresentation
bin11101100110110000011…
…101011001100100000000
321012111100102002202021121
4131212300131121210000
5231313103341343104
64154343251402024
7266662211622532
oct35466035314400
97174312082247
102034480027904
117148aaa34115
1228a3672b3314
13119b09b2c44c
147067dcc5852
1537dc509c254
hex1d9b0759900

2034480027904 has 81 divisors (see below), whose sum is σ = 4089038138913. Its totient is φ = 1010268005376.

The previous prime is 2034480027893. The next prime is 2034480027953. The reversal of 2034480027904 is 4097200844302.

The square root of 2034480027904 is 1426352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1105862560000 + 928617467904 = 1051600^2 + 963648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5454369862 + ... + 5454370234.

Almost surely, 22034480027904 is an apocalyptic number.

2034480027904 is the 1426352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034480027904

2034480027904 is an abundant number, since it is smaller than the sum of its proper divisors (2054558111009).

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

2034480027904 is an frugal number, since it uses more digits than its factorization.

2034480027904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 2034480027904 in words is "two trillion, thirty-four billion, four hundred eighty million, twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 239 256 373 478 746 956 1492 1912 2984 3824 5968 7648 11936 15296 23872 30592 47744 57121 61184 89147 95488 114242 139129 178294 228484 278258 356588 456968 556516 713176 913936 1113032 1426352 1827872 2226064 2852704 3655744 4452128 5705408 7311488 8904256 11410816 14622976 17808512 21306133 22821632 33251831 35617024 42612266 66503662 85224532 133007324 170449064 266014648 340898128 532029296 681796256 1064058592 1363592512 2128117184 2727185024 4256234368 5454370048 7947187609 8512468736 15894375218 31788750436 63577500872 127155001744 254310003488 508620006976 1017240013952 2034480027904