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40120274111544 = 233211112345108559
BaseRepresentation
bin10010001111101001110101…
…01011111100110000111000
312021001110102212212221011100
421013310322223330300320
520224312310133032134
6221154555515531400
711310410536113114
oct1107647253746070
9167043385787140
1040120274111544
1111868a04891260
1245bb6b2759b60
1319504304b71c3
149c9b8ddb6744
15498948cba999
hex247d3aafcc38

40120274111544 has 96 divisors (see below), whose sum is σ = 118642730169600. Its totient is φ = 12146832498240.

The previous prime is 40120274111527. The next prime is 40120274111557. The reversal of 40120274111544 is 44511147202104.

40120274111544 is a `hidden beast` number, since 40 + 1 + 2 + 0 + 2 + 74 + 1 + 1 + 1 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40120274111499 and 40120274111508.

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, 21664864 + ... + 23443695.

It is an arithmetic number, because the mean of its divisors is an integer number (1235861772600).

Almost surely, 240120274111544 is an apocalyptic number.

40120274111544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40120274111544 is an abundant number, since it is smaller than the sum of its proper divisors (78522456058056).

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

40120274111544 is a wasteful number, since it uses less digits than its factorization.

40120274111544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45109705 (or 45109698 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 40120274111544 in words is "forty trillion, one hundred twenty billion, two hundred seventy-four million, one hundred eleven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1123 2246 3369 4492 6738 8984 10107 12353 13476 20214 24706 26952 37059 40428 49412 74118 80856 98824 111177 148236 222354 296472 444708 889416 45108559 90217118 135325677 180434236 270651354 360868472 405977031 496194149 541302708 811954062 992388298 1082605416 1488582447 1623908124 1984776596 2977164894 3247816248 3969553192 4465747341 5954329788 8931494682 11908659576 17862989364 35725978728 50656911757 101313823514 151970735271 202627647028 303941470542 405255294056 455912205813 557226029327 607882941084 911824411626 1114452058654 1215765882168 1671678087981 1823648823252 2228904117308 3343356175962 3647297646504 4457808234616 5015034263943 6686712351924 10030068527886 13373424703848 20060137055772 40120274111544