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141144040400 = 24521197330703
BaseRepresentation
bin1000001101110011010…
…1110010001111010000
3111111022120102011010212
42003130311302033100
54303030333243100
6144501330343252
713124452356026
oct2033465621720
9444276364125
10141144040400
115494a149680
1223430a2ab28
13104048c258c
146b8d552716
153a113a6635
hex20dcd723d0

141144040400 has 120 divisors (see below), whose sum is σ = 373740495744. Its totient is φ = 50795827200.

The previous prime is 141144040399. The next prime is 141144040451. The reversal of 141144040400 is 4040441141.

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, 261449 + ... + 592151.

Almost surely, 2141144040400 is an apocalyptic number.

141144040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141144040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186870247872).

141144040400 is an abundant number, since it is smaller than the sum of its proper divisors (232596455344).

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

141144040400 is a wasteful number, since it uses less digits than its factorization.

141144040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330829 (or 330818 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 141144040400 its reverse (4040441141), we get a palindrome (145184481541).

The spelling of 141144040400 in words is "one hundred forty-one billion, one hundred forty-four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 97 100 110 176 194 200 220 275 388 400 440 485 550 776 880 970 1067 1100 1552 1940 2134 2200 2425 3880 4268 4400 4850 5335 7760 8536 9700 10670 17072 19400 21340 26675 38800 42680 53350 85360 106700 213400 330703 426800 661406 1322812 1653515 2645624 3307030 3637733 5291248 6614060 7275466 8267575 13228120 14550932 16535150 18188665 26456240 29101864 32078191 33070300 36377330 58203728 64156382 66140600 72754660 90943325 128312764 132281200 145509320 160390955 181886650 256625528 291018640 320781910 352860101 363773300 513251056 641563820 705720202 727546600 801954775 1283127640 1411440404 1455093200 1603909550 1764300505 2566255280 2822880808 3207819100 3528601010 5645761616 6415638200 7057202020 8821502525 12831276400 14114404040 17643005050 28228808080 35286010100 70572020200 141144040400