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1402311001020 = 223573724344203
BaseRepresentation
bin10100011010000000001…
…111111100001110111100
311222001121110112210220020
4110122000033330032330
5140433413104013040
62552113543252140
7203212400560236
oct24320017741674
94861543483806
101402311001020
114a0798002596
121a793b14a050
13a23116313b7
144bc2d4dd256
1526725ea5cd0
hex146803fc3bc

1402311001020 has 96 divisors (see below), whose sum is σ = 3980897663232. Its totient is φ = 368767738368.

The previous prime is 1402311001009. The next prime is 1402311001031. The reversal of 1402311001020 is 201001132041.

It is an interprime number because it is at equal distance from previous prime (1402311001009) and next prime (1402311001031).

It is a super-3 number, since 3×14023110010203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31702239 + ... + 31746441.

It is an arithmetic number, because the mean of its divisors is an integer number (41467683992).

Almost surely, 21402311001020 is an apocalyptic number.

1402311001020 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 1402311001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990448831616).

1402311001020 is an abundant number, since it is smaller than the sum of its proper divisors (2578586662212).

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

1402311001020 is a wasteful number, since it uses less digits than its factorization.

1402311001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51531 (or 51529 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1402311001020 its reverse (201001132041), we get a palindrome (1603312133061).

The spelling of 1402311001020 in words is "one trillion, four hundred two billion, three hundred eleven million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 7243 14486 21729 28972 36215 43458 44203 72430 86916 88406 108645 132609 144860 176812 217290 221015 265218 434580 442030 528739 530436 663045 884060 1057478 1326090 1586217 2114956 2643695 2652180 3172434 3226819 5287390 6344868 6453638 7931085 9680457 10574780 12907276 15862170 16134095 19360914 31724340 32268190 38721828 48402285 64536380 96804570 193609140 320162329 640324658 960486987 1280649316 1600811645 1920973974 3201623290 3841947948 4802434935 6403246580 9604869870 19209739740 23371850017 46743700034 70115550051 93487400068 116859250085 140231100102 233718500170 280462200204 350577750255 467437000340 701155500510 1402311001020