Search a number
-
+
154621510164040 = 235191687912053401
BaseRepresentation
bin100011001010000010100000…
…001100000001111001001000
3202021110200010220012002201011
4203022002200030001321020
5130231304323100222130
61304504050253533304
744366015110041163
oct4312024014017110
9667420126162634
10154621510164040
11452a3683570aa7
1215412826aa4234
13683799080a15a
142a27a146b2ada
1512d20d887952a
hex8ca0a0301e48

154621510164040 has 64 divisors (see below), whose sum is σ = 366230566368000. Its totient is φ = 58589938137600.

The previous prime is 154621510163933. The next prime is 154621510164083. The reversal of 154621510164040 is 40461015126451.

It is a super-3 number, since 3×1546215101640403 (a number of 44 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 154621510163984 and 154621510164002.

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, 6801340 + ... + 18854740.

It is an arithmetic number, because the mean of its divisors is an integer number (5722352599500).

Almost surely, 2154621510164040 is an apocalyptic number.

154621510164040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154621510164040 is an abundant number, since it is smaller than the sum of its proper divisors (211609056203960).

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

154621510164040 is a wasteful number, since it uses less digits than its factorization.

154621510164040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070310 (or 12070306 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 154621510164040 in words is "one hundred fifty-four trillion, six hundred twenty-one billion, five hundred ten million, one hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 16879 33758 67516 84395 135032 168790 320701 337580 641402 675160 1282804 1603505 2565608 3207010 6414020 12053401 12828040 24106802 48213604 60267005 96427208 120534010 229014619 241068020 458029238 482136040 916058476 1145073095 1832116952 2290146190 4580292380 9160584760 203449355479 406898710958 813797421916 1017246777395 1627594843832 2034493554790 3865537754101 4068987109580 7731075508202 8137974219160 15462151016404 19327688770505 30924302032808 38655377541010 77310755082020 154621510164040