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42214211520 = 2635133382549
BaseRepresentation
bin100111010100001010…
…011011111111000000
311000221222111010200120
4213110022123333000
51142423314232040
631220513020240
73023051606655
oct472412337700
9130858433616
1042214211520
11169a2904a18
128221554680
133c99a1b6b0
1420866a7c2c
1511710ae7d0
hex9d429bfc0

42214211520 has 112 divisors (see below), whose sum is σ = 144340173600. Its totient is φ = 10391187456.

The previous prime is 42214211503. The next prime is 42214211539. The reversal of 42214211520 is 2511241224.

42214211520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1678795 + ... + 1703754.

It is an arithmetic number, because the mean of its divisors is an integer number (1288751550).

Almost surely, 242214211520 is an apocalyptic number.

42214211520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42214211520 is an abundant number, since it is smaller than the sum of its proper divisors (102125962080).

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

42214211520 is a wasteful number, since it uses less digits than its factorization.

42214211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3382582 (or 3382572 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 42214211520 its reverse (2511241224), we get a palindrome (44725452744).

The spelling of 42214211520 in words is "forty-two billion, two hundred fourteen million, two hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 3382549 6765098 10147647 13530196 16912745 20295294 27060392 33825490 40590588 43973137 50738235 54120784 67650980 81181176 87946274 101476470 108241568 131919411 135301960 162362352 175892548 202952940 216483136 219865685 263838822 270603920 324724704 351785096 405905880 439731370 527677644 541207840 649449408 659597055 703570192 811811760 879462740 1055355288 1082415680 1319194110 1407140384 1623623520 1758925480 2110710576 2638388220 2814280768 3247247040 3517850960 4221421152 5276776440 7035701920 8442842304 10553552880 14071403840 21107105760 42214211520