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153454112240 = 245111313413821
BaseRepresentation
bin1000111011101010010…
…0111110110111110000
3112200002110222121002112
42032322210332313300
510003233223042430
6154255034104452
714041510301222
oct2167244766760
9480073877075
10153454112240
115a096933870
12258a757b128
1311617070360
1475da406412
153ed1e75195
hex23ba93edf0

153454112240 has 80 divisors (see below), whose sum is σ = 419155109856. Its totient is φ = 51509068800.

The previous prime is 153454112179. The next prime is 153454112261. The reversal of 153454112240 is 42211454351.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 153454112197 and 153454112206.

It is a congruent number.

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, 6695471 + ... + 6718350.

Almost surely, 2153454112240 is an apocalyptic number.

153454112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153454112240 is an abundant number, since it is smaller than the sum of its proper divisors (265700997616).

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

153454112240 is a wasteful number, since it uses less digits than its factorization.

153454112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413858 (or 13413852 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 153454112240 its reverse (42211454351), we get a palindrome (195665566591).

The spelling of 153454112240 in words is "one hundred fifty-three billion, four hundred fifty-four million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 13413821 26827642 53655284 67069105 107310568 134138210 147552031 174379673 214621136 268276420 295104062 348759346 536552840 590208124 697518692 737760155 871898365 1073105680 1180416248 1395037384 1475520310 1743796730 1918176403 2360832496 2790074768 2951040620 3487593460 3836352806 5902081240 6975186920 7672705612 9590882015 11804162480 13950373840 15345411224 19181764030 30690822448 38363528060 76727056120 153454112240