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153413435340 = 2232511292671777
BaseRepresentation
bin1000111011100000100…
…1110011111111001100
3112122222122102222212200
42032320021303333030
510003142314412330
6154251022201500
714040504453534
oct2167011637714
9478878388780
10153413435340
115a0759806a0
1225895a23290
131160b7ca699
1475d4c584c4
153ecd5dca60
hex23b8273fcc

153413435340 has 144 divisors (see below), whose sum is σ = 525164683680. Its totient is φ = 35908669440.

The previous prime is 153413435321. The next prime is 153413435347. The reversal of 153413435340 is 43534314351.

153413435340 is a `hidden beast` number, since 1 + 53 + 41 + 34 + 3 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153413435295 and 153413435304.

It is not an unprimeable number, because it can be changed into a prime (153413435347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1278469 + ... + 1393308.

It is an arithmetic number, because the mean of its divisors is an integer number (3646976970).

Almost surely, 2153413435340 is an apocalyptic number.

153413435340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153413435340 is an abundant number, since it is smaller than the sum of its proper divisors (371751248340).

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

153413435340 is a wasteful number, since it uses less digits than its factorization.

153413435340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671832 (or 2671827 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 153413435340 its reverse (43534314351), we get a palindrome (196947749691).

The spelling of 153413435340 in words is "one hundred fifty-three billion, four hundred thirteen million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420 2671777 5343554 8015331 10687108 13358885 16030662 24045993 26717770 29389547 32061324 40076655 48091986 53435540 58779094 77481533 80153310 88168641 96183972 117558188 120229965 146947735 154963066 160306620 176337282 232444599 240459930 264505923 293895470 309926132 352674564 387407665 440843205 464889198 480919860 529011846 587790940 697333797 774815330 852296863 881686410 929778396 1058023692 1162222995 1322529615 1394667594 1549630660 1704593726 1763372820 2324445990 2556890589 2645059230 2789335188 3409187452 3486668985 4261484315 4648891980 5113781178 5290118460 6973337970 7670671767 8522968630 10227562356 12784452945 13946675940 15341343534 17045937260 25568905890 30682687068 38353358835 51137811780 76706717670 153413435340