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153202413420 = 22345713509913
BaseRepresentation
bin1000111010101110010…
…0110100111101101100
3112122102221100222020000
42032223210310331230
510002224304212140
6154214043224300
714032333012350
oct2165344647554
9478387328200
10153202413420
1159a7784a811
1225837218090
13115a6b84644
1475b4c07460
153eb9d07a30
hex23ab934f6c

153202413420 has 120 divisors (see below), whose sum is σ = 549259063584. Its totient is φ = 35017691904.

The previous prime is 153202413409. The next prime is 153202413421. The reversal of 153202413420 is 24314202351.

153202413420 is a `hidden beast` number, since 1 + 5 + 3 + 202 + 413 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153202413421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6743617 + ... + 6766296.

Almost surely, 2153202413420 is an apocalyptic number.

153202413420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153202413420 is an abundant number, since it is smaller than the sum of its proper divisors (396056650164).

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

153202413420 is a wasteful number, since it uses less digits than its factorization.

153202413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13509941 (or 13509930 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 153202413420 its reverse (24314202351), we get a palindrome (177516615771).

The spelling of 153202413420 in words is "one hundred fifty-three billion, two hundred two million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 13509913 27019826 40529739 54039652 67549565 81059478 94569391 121589217 135099130 162118956 189138782 202648695 243178434 270198260 283708173 364767651 378277564 405297390 472846955 486356868 567416346 607946085 729535302 810594780 851124519 945693910 1094302953 1134832692 1215892170 1418540865 1459070604 1702249038 1823838255 1891387820 2188605906 2431784340 2553373557 2837081730 3404498076 3647676510 4255622595 4377211812 5106747114 5471514765 5674163460 7295353020 7660120671 8511245190 10213494228 10943029530 12766867785 15320241342 17022490380 21886059060 25533735570 30640482684 38300603355 51067471140 76601206710 153202413420