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429990514050 = 235217223342571
BaseRepresentation
bin1100100000111010110…
…11101000110110000010
31112002212210000100002110
412100131123220312002
524021110032422200
6525311313000150
743031365031016
oct6203533506602
91462783010073
10429990514050
111563a34874a9
126b402b53056
1331717a61846
1416b5125c546
15b2b979bb50
hex641d6e8d82

429990514050 has 144 divisors (see below), whose sum is σ = 1137682888992. Its totient is φ = 107453491200.

The previous prime is 429990514013. The next prime is 429990514087. The reversal of 429990514050 is 50415099924.

It is an interprime number because it is at equal distance from previous prime (429990514013) and next prime (429990514087).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10079265 + ... + 10121835.

It is an arithmetic number, because the mean of its divisors is an integer number (7900575618).

Almost surely, 2429990514050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429990514050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568841444496).

429990514050 is an abundant number, since it is smaller than the sum of its proper divisors (707692374942).

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

429990514050 is a wasteful number, since it uses less digits than its factorization.

429990514050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42853 (or 42831 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 429990514050 in words is "four hundred twenty-nine billion, nine hundred ninety million, five hundred fourteen thousand, fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 233 255 289 425 466 510 578 699 850 867 1165 1275 1398 1445 1734 2330 2550 2890 3495 3961 4335 5825 6990 7225 7922 8670 11650 11883 14450 17475 19805 21675 23766 34950 39610 42571 43350 59415 67337 85142 99025 118830 127713 134674 198050 202011 212855 255426 297075 336685 404022 425710 594150 638565 673370 723707 1010055 1064275 1277130 1447414 1683425 2020110 2128550 2171121 3192825 3366850 3618535 4342242 5050275 6385650 7237070 9919043 10100550 10855605 12303019 18092675 19838086 21711210 24606038 29757129 36185350 36909057 49595215 54278025 59514258 61515095 73818114 99190430 108556050 123030190 148785645 168623731 184545285 247976075 297571290 307575475 337247462 369090570 495952150 505871193 615150950 743928225 843118655 922726425 1011742386 1487856450 1686237310 1845452850 2529355965 2866603427 4215593275 5058711930 5733206854 8431186550 8599810281 12646779825 14333017135 17199620562 25293559650 28666034270 42999051405 71665085675 85998102810 143330171350 214995257025 429990514050