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1020014300040 = 233519447374693
BaseRepresentation
bin11101101011111011001…
…01110000101110001000
310121111211112212012200220
432311331211300232020
5113202442130100130
62100331010230040
7133456622332011
oct16657545605610
93544745765626
101020014300040
1136364953182a
12145828885320
137525790c328
14375245b2008
151b7ed8a9410
hexed7d970b88

1020014300040 has 64 divisors (see below), whose sum is σ = 3221097796800. Its totient is φ = 257687822592.

The previous prime is 1020014300023. The next prime is 1020014300051. The reversal of 1020014300040 is 400034100201.

It is a super-2 number, since 2×10200143000402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020014299992 and 1020014300019.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223685067 + ... + 223689626.

It is an arithmetic number, because the mean of its divisors is an integer number (50329653075).

Almost surely, 21020014300040 is an apocalyptic number.

1020014300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020014300040 is an abundant number, since it is smaller than the sum of its proper divisors (2201083496760).

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

1020014300040 is a wasteful number, since it uses less digits than its factorization.

1020014300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447374726 (or 447374722 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1020014300040 its reverse (400034100201), we get a palindrome (1420048400241).

The spelling of 1020014300040 in words is "one trillion, twenty billion, fourteen million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 447374693 894749386 1342124079 1789498772 2236873465 2684248158 3578997544 4473746930 5368496316 6710620395 8500119167 8947493860 10736992632 13421240790 17000238334 17894987720 25500357501 26842481580 34000476668 42500595835 51000715002 53684963160 68000953336 85001191670 102001430004 127501787505 170002383340 204002860008 255003575010 340004766680 510007150020 1020014300040