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51244360442144 = 254375154199151
BaseRepresentation
bin10111010011011010000011…
…11001101010000100100000
320201102220122120212022201222
423221231001321222010200
523204041422233122034
6300553200104114212
713536166010566232
oct1351550171520440
9221386576768658
1051244360442144
111536767a593a11
1258b7600765968
1322794265829cc
14c9235147c252
155dceb405512e
hex2e9b41e6a120

51244360442144 has 96 divisors (see below), whose sum is σ = 103401387048960. Its totient is φ = 24985648800000.

The previous prime is 51244360442089. The next prime is 51244360442201. The reversal of 51244360442144 is 44124406344215.

It is a happy number.

It is a super-2 number, since 2×512443604421442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51244360442095 and 51244360442104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5599859969 + ... + 5599869119.

It is an arithmetic number, because the mean of its divisors is an integer number (1077097781760).

Almost surely, 251244360442144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51244360442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51700693524480).

51244360442144 is an abundant number, since it is smaller than the sum of its proper divisors (52157026606816).

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

51244360442144 is a wasteful number, since it uses less digits than its factorization.

51244360442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15374 (or 15366 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 44.

Adding to 51244360442144 its reverse (44124406344215), we get a palindrome (95368766786359).

The spelling of 51244360442144 in words is "fifty-one trillion, two hundred forty-four billion, three hundred sixty million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 751 1376 1502 3004 5419 6008 9151 10838 12016 18302 21676 24032 32293 36604 43352 64586 73208 86704 129172 146416 173408 233017 258344 292832 393493 466034 516688 786986 932068 1033376 1573972 1864136 3147944 3728272 4069669 6295888 6872401 7456544 8139338 12591776 13744802 16278676 27489604 32557352 49589269 54979208 65114704 99178538 109958416 130229408 174995767 198357076 219916832 295513243 349991534 396714152 591026486 699983068 793428304 1182052972 1399966136 1586856608 2132338567 2364105944 2799932272 4264677134 4728211888 5599864544 8529354268 9456423776 17058708536 34117417072 37241541019 68234834144 74483082038 148966164076 297932328152 595864656304 1191729312608 1601386263817 3202772527634 6405545055268 12811090110536 25622180221072 51244360442144