Search a number
-
+
103406162942040 = 23357217586082133
BaseRepresentation
bin10111100000110000011111…
…100111000001100001011000
3111120010112101021211001212020
4113200300133213001201120
5102023201310203121130
61003532045131414440
730531564054350400
oct2740603747014130
9446115337731766
10103406162942040
112aa48342207882
12b7209828b4420
13459120c06083a
141b76c565b3800
15be4c719cde10
hex5e0c1f9c1858

103406162942040 has 96 divisors (see below), whose sum is σ = 360866405389680. Its totient is φ = 23635694385408.

The previous prime is 103406162942021. The next prime is 103406162942059. The reversal of 103406162942040 is 40249261604301.

It is an interprime number because it is at equal distance from previous prime (103406162942021) and next prime (103406162942059).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 103406162941983 and 103406162942001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8793035187 + ... + 8793046946.

Almost surely, 2103406162942040 is an apocalyptic number.

103406162942040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103406162942040 is an abundant number, since it is smaller than the sum of its proper divisors (257460242447640).

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

103406162942040 is a wasteful number, since it uses less digits than its factorization.

103406162942040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17586082161 (or 17586082150 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 103406162942040 in words is "one hundred three trillion, four hundred six billion, one hundred sixty-two million, nine hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 17586082133 35172164266 52758246399 70344328532 87930410665 105516492798 123102574931 140688657064 175860821330 211032985596 246205149862 263791231995 351721642660 369307724793 422065971192 492410299724 527582463990 615512874655 703443285320 738615449586 861718024517 984820599448 1055164927980 1231025749310 1477230899172 1723436049034 1846538623965 2110329855960 2462051498620 2585154073551 2954461798344 3446872098068 3693077247930 4308590122585 4924102997240 5170308147102 6893744196136 7386154495860 8617180245170 10340616294204 12925770367755 14772308991720 17234360490340 20681232588408 25851540735510 34468720980680 51703081471020 103406162942040