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1430736545956 = 222924125032
BaseRepresentation
bin10100110100011110100…
…010110010100010100100
312001202222111020002221211
4110310132202302202210
5141420122023432311
63013134333321204
7205236661661134
oct24643642624244
95052874202854
101430736545956
11501854532193
121b1352936204
13a4bc1765983
144d3687c2ac4
152733b779821
hex14d1e8b28a4

1430736545956 has 81 divisors (see below), whose sum is σ = 2663187275203. Its totient is φ = 672514380160.

The previous prime is 1430736545951. The next prime is 1430736545971. The reversal of 1430736545956 is 6595456370341.

The square root of 1430736545956 is 1196134.

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

It can be written as a sum of positive squares in 4 ways, for example, as 377814291556 + 1052922254400 = 614666^2 + 1026120^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1430736545956.

It is not an unprimeable number, because it can be changed into a prime (1430736545951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2844406401 + ... + 2844406903.

Almost surely, 21430736545956 is an apocalyptic number.

1430736545956 is the 1196134-th square number.

It is an amenable number.

1430736545956 is a deficient number, since it is larger than the sum of its proper divisors (1232450729247).

1430736545956 is an frugal number, since it uses more digits than its factorization.

1430736545956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 58.

The spelling of 1430736545956 in words is "one trillion, four hundred thirty billion, seven hundred thirty-six million, five hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 29 41 58 82 116 164 503 841 1006 1189 1681 1682 2012 2378 3362 3364 4756 6724 14587 20623 29174 34481 41246 48749 58348 68962 82492 97498 137924 194996 253009 423023 506018 598067 845543 846046 1012036 1196134 1413721 1691086 1692092 2392268 2827442 3382172 5654884 7337261 10373369 14674522 17343943 20746738 24520747 29349044 34687886 41493476 49041494 69375772 98082988 212780569 300827701 425308129 425561138 601655402 711101663 850616258 851122276 1203310804 1422203326 1701232516 2844406652 8724003329 12333935741 17448006658 24667871482 34896013316 49335742964 357684136489 715368272978 1430736545956