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3151414420 = 22572112831033
BaseRepresentation
bin1011101111010110…
…1100010010010100
322010121221102212121
42323311230102110
522423230230140
61240413425324
7141044403100
oct27365542224
98117842777
103151414420
111377989330
1273b49b244
133b2b8a17b
1421c77c900
15136a0264a
hexbbd6c494

3151414420 has 144 divisors (see below), whose sum is σ = 8436149568. Its totient is φ = 977840640.

The previous prime is 3151414411. The next prime is 3151414421. The reversal of 3151414420 is 244141513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3151414421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3050224 + ... + 3051256.

It is an arithmetic number, because the mean of its divisors is an integer number (58584372).

Almost surely, 23151414420 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 3151414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218074784).

3151414420 is an abundant number, since it is smaller than the sum of its proper divisors (5284735148).

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

3151414420 is a wasteful number, since it uses less digits than its factorization.

3151414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 3151414420 is about 56137.4600422926. The cubic root of 3151414420 is about 1466.1165828543.

Adding to 3151414420 its reverse (244141513), we get a palindrome (3395555933).

The spelling of 3151414420 in words is "three billion, one hundred fifty-one million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 283 308 385 490 539 566 770 980 1033 1078 1132 1415 1540 1981 2066 2156 2695 2830 3113 3962 4132 5165 5390 5660 6226 7231 7924 9905 10330 10780 11363 12452 13867 14462 15565 19810 20660 21791 22726 27734 28924 31130 36155 39620 43582 45452 50617 55468 56815 62260 69335 72310 79541 87164 101234 108955 113630 138670 144620 152537 159082 202468 217910 227260 253085 277340 292339 305074 318164 397705 435820 506170 556787 584678 610148 762685 795410 1012340 1113574 1169356 1461695 1525370 1590820 2046373 2227148 2783935 2923390 3050740 3215729 4092746 5567870 5846780 6431458 8185492 10231865 11135740 12862916 14324611 16078645 20463730 22510103 28649222 32157290 40927460 45020206 57298444 64314580 71623055 90040412 112550515 143246110 157570721 225101030 286492220 315141442 450202060 630282884 787853605 1575707210 3151414420