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1403022404040 = 2335139619135887
BaseRepresentation
bin10100011010101010101…
…001101110100111001000
311222010110001011211101020
4110122222221232213020
5140441342213412130
62552312315152440
7203236126443435
oct24325251564710
94863401154336
101403022404040
114a1022630174
121a7ab9445720
13a23c5b33b2a
144bc99ba4b8c
152676867be10
hex146aaa6e9c8

1403022404040 has 128 divisors (see below), whose sum is σ = 4246228224000. Its totient is φ = 370844851968.

The previous prime is 1403022404039. The next prime is 1403022404041. The reversal of 1403022404040 is 404042203041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1403022404039) and next prime (1403022404041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1403022404040.

It is not an unprimeable number, because it can be changed into a prime (1403022404041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10256977 + ... + 10392863.

It is an arithmetic number, because the mean of its divisors is an integer number (33173658000).

Almost surely, 21403022404040 is an apocalyptic number.

1403022404040 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 1403022404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123114112000).

1403022404040 is an abundant number, since it is smaller than the sum of its proper divisors (2843205819960).

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

1403022404040 is a wasteful number, since it uses less digits than its factorization.

1403022404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136659 (or 136655 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1403022404040 its reverse (404042203041), we get a palindrome (1807064607081).

The spelling of 1403022404040 in words is "one trillion, four hundred three billion, twenty-two million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 619 695 834 1112 1238 1390 1668 1857 2085 2476 2780 3095 3336 3714 4170 4952 5560 6190 7428 8340 9285 12380 14856 16680 18570 24760 37140 74280 86041 135887 172082 258123 271774 344164 407661 430205 516246 543548 679435 688328 815322 860410 1032492 1087096 1290615 1358870 1630644 1720820 2038305 2064984 2581230 2717740 3261288 3441640 4076610 5162460 5435480 8153220 10324920 16306440 18888293 37776586 56664879 75553172 84114053 94441465 113329758 151106344 168228106 188882930 226659516 252342159 283324395 336456212 377765860 420570265 453319032 504684318 566648790 672912424 755531720 841140530 1009368636 1133297580 1261710795 1682281060 2018737272 2266595160 2523421590 3364562120 5046843180 10093686360 11691853367 23383706734 35075560101 46767413468 58459266835 70151120202 93534826936 116918533670 140302240404 175377800505 233837067340 280604480808 350755601010 467674134680 701511202020 1403022404040