Search a number
-
+
153351044400 = 24352196725923
BaseRepresentation
bin1000111011010001101…
…1110011110100110000
3112122211022001012121010
42032310123303310300
510003030331410100
6154240513030520
714036116241001
oct2166433636460
9478738035533
10153351044400
115a043737434
1225878b55440
13115cb8c4378
1475ca8571a8
153ec7db6750
hex23b46f3d30

153351044400 has 120 divisors (see below), whose sum is σ = 517089037120. Its totient is φ = 38741310720.

The previous prime is 153351044389. The next prime is 153351044423. The reversal of 153351044400 is 4440153351.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3340162 + ... + 3385761.

Almost surely, 2153351044400 is an apocalyptic number.

153351044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153351044400 is an abundant number, since it is smaller than the sum of its proper divisors (363737992720).

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

153351044400 is a wasteful number, since it uses less digits than its factorization.

153351044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725963 (or 6725952 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 153351044400 its reverse (4440153351), we get a palindrome (157791197751).

The spelling of 153351044400 in words is "one hundred fifty-three billion, three hundred fifty-one million, forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 6725923 13451846 20177769 26903692 33629615 40355538 53807384 67259230 80711076 100888845 107614768 127792537 134518460 161422152 168148075 201777690 255585074 269036920 322844304 336296150 383377611 403555380 504444225 511170148 538073840 638962685 672592300 766755222 807110760 1008888450 1022340296 1277925370 1345184600 1533510444 1614221520 1916888055 2017776900 2044680592 2555850740 2690369200 3067020888 3194813425 3833776110 4035553800 5111701480 6134041776 6389626850 7667552220 8071107600 9584440275 10223402960 12779253700 15335104440 19168880550 25558507400 30670208880 38337761100 51117014800 76675522200 153351044400