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531045134331400 = 235213733278646833
BaseRepresentation
bin111100010111110111001010…
…0100101110110111000001000
32120122021102022110220102111101
41320233232110211312320020
51024101120413342101100
65121234433344511144
7216566513323652143
oct17057562445667010
92518242273812441
10531045134331400
11144230a82014a47
124b68813101b4b4
1319a41458a83a30
14951ca1628905a
15415da8156386a
hex1e2fb94976e08

531045134331400 has 96 divisors (see below), whose sum is σ = 1331469312775560. Its totient is φ = 195810701783040.

The previous prime is 531045134331337. The next prime is 531045134331461. The reversal of 531045134331400 is 4133431540135.

It can be written as a sum of positive squares in 12 ways, for example, as 98242629474564 + 432802504856836 = 9911742^2 + 20803906^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 531045134331400.

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, 137417617 + ... + 141229216.

Almost surely, 2531045134331400 is an apocalyptic number.

531045134331400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531045134331400 is an abundant number, since it is smaller than the sum of its proper divisors (800424178444160).

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

531045134331400 is a wasteful number, since it uses less digits than its factorization.

531045134331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278647595 (or 278647586 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 531045134331400 its reverse (4133431540135), we get a palindrome (535178565871535).

The spelling of 531045134331400 in words is "five hundred thirty-one trillion, forty-five billion, one hundred thirty-four million, three hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 733 1300 1466 2600 2932 3665 5864 7330 9529 14660 18325 19058 29320 36650 38116 47645 73300 76232 95290 146600 190580 238225 381160 476450 952900 1905800 278646833 557293666 1114587332 1393234165 2229174664 2786468330 3622408829 5572936660 6966170825 7244817658 11145873320 13932341650 14489635316 18112044145 27864683300 28979270632 36224088290 55729366600 72448176580 90560220725 144896353160 181120441450 204248128589 362240882900 408496257178 724481765800 816992514356 1021240642945 1633985028712 2042481285890 2655225671657 4084962571780 5106203214725 5310451343314 8169925143560 10212406429450 10620902686628 13276128358285 20424812858900 21241805373256 26552256716570 40849625717800 53104513433140 66380641791425 106209026866280 132761283582850 265522567165700 531045134331400