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42151510000 = 24543723079
BaseRepresentation
bin100111010000011011…
…001111111111110000
311000210121111120101001
4213100123033333300
51142311241310000
631210353051344
73021360631465
oct472033177760
9130717446331
1042151510000
1116970479386
128204556b54
133c89a36bc2
14207c22566c
15116a82646a
hex9d06cfff0

42151510000 has 150 divisors (see below), whose sum is σ = 104919821160. Its totient is φ = 16399584000.

The previous prime is 42151509997. The next prime is 42151510001. The reversal of 42151510000 is 1515124.

It is a self number, because there is not a number n which added to its sum of digits gives 42151510000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42151510001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13688461 + ... + 13691539.

Almost surely, 242151510000 is an apocalyptic number.

42151510000 is a gapful number since it is divisible by the number (40) 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 42151510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52459910580).

42151510000 is an abundant number, since it is smaller than the sum of its proper divisors (62768311160).

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

42151510000 is an equidigital number, since it uses as much as digits as its factorization.

42151510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The spelling of 42151510000 in words is "forty-two billion, one hundred fifty-one million, five hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 625 740 925 1000 1250 1369 1480 1850 2000 2500 2738 2960 3079 3700 4625 5000 5476 6158 6845 7400 9250 10000 10952 12316 13690 14800 15395 18500 21904 23125 24632 27380 30790 34225 37000 46250 49264 54760 61580 68450 74000 76975 92500 109520 113923 123160 136900 153950 171125 185000 227846 246320 273800 307900 342250 370000 384875 455692 547600 569615 615800 684500 769750 855625 911384 1139230 1231600 1369000 1539500 1711250 1822768 1924375 2278460 2738000 2848075 3079000 3422500 3848750 4215151 4556920 5696150 6158000 6845000 7697500 8430302 9113840 11392300 13690000 14240375 15395000 16860604 21075755 22784600 28480750 30790000 33721208 42151510 45569200 56961500 67442416 71201875 84303020 105378775 113923000 142403750 168606040 210757550 227846000 284807500 337212080 421515100 526893875 569615000 843030200 1053787750 1139230000 1686060400 2107575500 2634469375 4215151000 5268938750 8430302000 10537877500 21075755000 42151510000