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1023444321400 = 2352191072517079
BaseRepresentation
bin11101110010010100000…
…10010000010001111000
310121211200121001100110001
432321022002100101320
5113232003221241100
62102055215402344
7133640622124204
oct16711202202170
93554617040401
101023444321400
11365049702626
121464255233b4
1375683416a77
143776bd55b04
151b94ea91d6a
hexee4a090478

1023444321400 has 96 divisors (see below), whose sum is σ = 2528155152000. Its totient is φ = 384206785920.

The previous prime is 1023444321377. The next prime is 1023444321479. The reversal of 1023444321400 is 41234443201.

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, 851940 + ... + 1665139.

It is an arithmetic number, because the mean of its divisors is an integer number (26334949500).

Almost surely, 21023444321400 is an apocalyptic number.

1023444321400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023444321400 is an abundant number, since it is smaller than the sum of its proper divisors (1504710830600).

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

1023444321400 is a wasteful number, since it uses less digits than its factorization.

1023444321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517221 (or 2517212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1023444321400 its reverse (41234443201), we get a palindrome (1064678764601).

The spelling of 1023444321400 in words is "one trillion, twenty-three billion, four hundred forty-four million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 107 152 190 200 214 380 428 475 535 760 856 950 1070 1900 2033 2140 2675 3800 4066 4280 5350 8132 10165 10700 16264 20330 21400 40660 50825 81320 101650 203300 406600 2517079 5034158 10068316 12585395 20136632 25170790 47824501 50341580 62926975 95649002 100683160 125853950 191298004 239122505 251707900 269327453 382596008 478245010 503415800 538654906 956490020 1077309812 1195612525 1346637265 1912980040 2154619624 2391225050 2693274530 4782450100 5117221607 5386549060 6733186325 9564900200 10234443214 10773098120 13466372650 20468886428 25586108035 26932745300 40937772856 51172216070 53865490600 102344432140 127930540175 204688864280 255861080350 511722160700 1023444321400