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153402412020 = 2235111321375313
BaseRepresentation
bin1000111011011101111…
…1110000101111110100
3112122221212200221201120
42032313133300233310
510003132004141040
6154245550023540
714040311662554
oct2166737605764
9478855627646
10153402412020
115a06a731710
12258921a7bb0
131160943b100
1475d35c9164
153ecc6617d0
hex23b77f0bf4

153402412020 has 144 divisors (see below), whose sum is σ = 507391843392. Its totient is φ = 34327787520.

The previous prime is 153402411991. The next prime is 153402412027. The reversal of 153402412020 is 20214204351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153402412027) 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, 576117 + ... + 799196.

It is an arithmetic number, because the mean of its divisors is an integer number (3523554468).

Almost surely, 2153402412020 is an apocalyptic number.

153402412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153402412020 is an abundant number, since it is smaller than the sum of its proper divisors (353989431372).

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

153402412020 is a wasteful number, since it uses less digits than its factorization.

153402412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375362 (or 1375347 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 153402412020 its reverse (20214204351), we get a palindrome (173616616371).

The spelling of 153402412020 in words is "one hundred fifty-three billion, four hundred two million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3718 4290 5070 5577 7436 8580 9295 10140 11154 18590 22308 27885 37180 55770 111540 1375313 2750626 4125939 5501252 6876565 8251878 13753130 15128443 16503756 17879069 20629695 27506260 30256886 35758138 41259390 45385329 53637207 60513772 71516276 75642215 82518780 89395345 90770658 107274414 151284430 178790690 181541316 196669759 214548828 226926645 232427897 268186035 302568860 357581380 393339518 453853290 464855794 536372070 590009277 697283691 786679036 907706580 929711588 983348795 1072744140 1162139485 1180018554 1394567382 1966697590 2324278970 2360037108 2556706867 2789134764 2950046385 3486418455 3933395180 4648557940 5113413734 5900092770 6972836910 7670120601 10226827468 11800185540 12783534335 13945673820 15340241202 25567068670 30680482404 38350603005 51134137340 76701206010 153402412020