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1402372137420 = 22325371311607377
BaseRepresentation
bin10100011010000011111…
…001001010000111001100
311222001202201120212021100
4110122003321022013030
5140434024231344140
62552124005503100
7203214042326412
oct24320371120714
94861681525240
101402372137420
114a081956a241
121a7957711a90
13a23211b8697
144bc376952b2
152672b530530
hex14683e4a1cc

1402372137420 has 144 divisors (see below), whose sum is σ = 4402183994208. Its totient is φ = 361080944640.

The previous prime is 1402372137389. The next prime is 1402372137451. The reversal of 1402372137420 is 247312732041.

1402372137420 is a `hidden beast` number, since 1 + 402 + 37 + 213 + 7 + 4 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1402372137389) and next prime (1402372137451).

It is a super-2 number, since 2×14023721374202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68772 + ... + 1676148.

It is an arithmetic number, because the mean of its divisors is an integer number (30570722182).

Almost surely, 21402372137420 is an apocalyptic number.

1402372137420 is a gapful number since it is divisible by the number (10) 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 1402372137420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201091997104).

1402372137420 is an abundant number, since it is smaller than the sum of its proper divisors (2999811856788).

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

1402372137420 is a wasteful number, since it uses less digits than its factorization.

1402372137420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607560 (or 1607555 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 1402372137420 its reverse (247312732041), we get a palindrome (1649684869461).

The spelling of 1402372137420 in words is "one trillion, four hundred two billion, three hundred seventy-two million, one hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 131 148 180 185 222 262 333 370 393 444 524 555 655 666 740 786 1110 1179 1310 1332 1572 1665 1965 2220 2358 2620 3330 3930 4716 4847 5895 6660 7860 9694 11790 14541 19388 23580 24235 29082 43623 48470 58164 72705 87246 96940 145410 174492 218115 290820 436230 872460 1607377 3214754 4822131 6429508 8036885 9644262 14466393 16073770 19288524 24110655 28932786 32147540 48221310 57865572 59472949 72331965 96442620 118945898 144663930 178418847 210566387 237891796 289327860 297364745 356837694 421132774 535256541 594729490 631699161 713675388 842265548 892094235 1052831935 1070513082 1189458980 1263398322 1784188470 1895097483 2105663870 2141026164 2526796644 2676282705 3158495805 3568376940 3790194966 4211327740 5352565410 6316991610 7580389932 7790956319 9475487415 10705130820 12633983220 15581912638 18950974830 23372868957 31163825276 37901949660 38954781595 46745737914 70118606871 77909563190 93491475828 116864344785 140237213742 155819126380 233728689570 280474427484 350593034355 467457379140 701186068710 1402372137420