Search a number
-
+
153401305344420 = 223572499104563757
BaseRepresentation
bin100010111000010010000110…
…010100000010100110100100
3202010011000120201112210210010
4202320102012110002212210
5130101311333132010140
61302131330425530220
744211610231151400
oct4270220624024644
9663130521483703
10153401305344420
1144973145780981
121525624a943970
1367798b12938a3
1429c493c9c8100
1512b04bee65880
hex8b84865029a4

153401305344420 has 144 divisors (see below), whose sum is σ = 500651273304000. Its totient is φ = 34992888327936.

The previous prime is 153401305344377. The next prime is 153401305344421. The reversal of 153401305344420 is 24443503104351.

It is not an unprimeable number, because it can be changed into a prime (153401305344421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50814819 + ... + 53748938.

It is an arithmetic number, because the mean of its divisors is an integer number (3476744953500).

Almost surely, 2153401305344420 is an apocalyptic number.

153401305344420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153401305344420 is an abundant number, since it is smaller than the sum of its proper divisors (347249967959580).

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

153401305344420 is a wasteful number, since it uses less digits than its factorization.

153401305344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104564282 (or 104564273 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 153401305344420 its reverse (24443503104351), we get a palindrome (177844808448771).

The spelling of 153401305344420 in words is "one hundred fifty-three trillion, four hundred one billion, three hundred five million, three hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 499 588 735 980 998 1470 1497 1996 2495 2940 2994 3493 4990 5988 6986 7485 9980 10479 13972 14970 17465 20958 24451 29940 34930 41916 48902 52395 69860 73353 97804 104790 122255 146706 209580 244510 293412 366765 489020 733530 1467060 104563757 209127514 313691271 418255028 522818785 627382542 731946299 1045637570 1254765084 1463892598 1568456355 2091275140 2195838897 2927785196 3136912710 3659731495 4391677794 5123624093 6273825420 7319462990 8783355588 10247248186 10979194485 14638925980 15370872279 20494496372 21958388970 25618120465 30741744558 43916777940 51236240930 52177314743 61483489116 76854361395 102472481860 104354629486 153708722790 156531944229 208709258972 260886573715 307417445580 313063888458 365241203201 521773147430 626127776916 730482406402 782659721145 1043546294860 1095723609603 1460964812804 1565319442290 1826206016005 2191447219206 2556688422407 3130638884580 3652412032010 4382894438412 5113376844814 5478618048015 7304824064020 7670065267221 10226753689628 10957236096030 12783442112035 15340130534442 21914472192060 25566884224070 30680261068884 38350326336105 51133768448140 76700652672210 153401305344420