Search a number
-
+
152631316403430 = 235411034992414353
BaseRepresentation
bin100010101101000100111111…
…011001010101010011100110
3202000102102002212111211021120
4202231010333121111103212
5130001202413444402210
61300341505254354410
744102151210145254
oct4255047731252346
9660372085454246
10152631316403430
11446a663a023a97
1215150b7b05ba06
1367220c0a81bc7
1429995763495d4
15129a456734270
hex8ad13f6554e6

152631316403430 has 128 divisors (see below), whose sum is σ = 379652337792000. Its totient is φ = 39244615741440.

The previous prime is 152631316403417. The next prime is 152631316403431. The reversal of 152631316403430 is 34304613136251.

152631316403430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152631316403431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62011134 + ... + 64425486.

It is an arithmetic number, because the mean of its divisors is an integer number (2966033889000).

Almost surely, 2152631316403430 is an apocalyptic number.

152631316403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152631316403430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189826168896000).

152631316403430 is an abundant number, since it is smaller than the sum of its proper divisors (227021021388570).

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

152631316403430 is a wasteful number, since it uses less digits than its factorization.

152631316403430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415006.

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 152631316403430 its reverse (34304613136251), we get a palindrome (186935929539681).

The spelling of 152631316403430 in words is "one hundred fifty-two trillion, six hundred thirty-one billion, three hundred sixteen million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 103 123 205 206 246 309 410 499 515 615 618 998 1030 1230 1497 1545 2495 2994 3090 4223 4990 7485 8446 12669 14970 20459 21115 25338 40918 42230 51397 61377 63345 102295 102794 122754 126690 154191 204590 256985 306885 308382 513970 613770 770955 1541910 2107277 2414353 4214554 4828706 6321831 7243059 10536385 12071765 12643662 14486118 21072770 24143530 31609155 36215295 63218310 72430590 98988473 197976946 248678359 296965419 494942365 497356718 593930838 746035077 989884730 1204762147 1243391795 1484827095 1492070154 2409524294 2486783590 2969654190 3614286441 3730175385 6023810735 7228572882 7460350770 10195812719 12047621470 18071432205 20391625438 30587438157 36142864410 49395248027 50979063595 61174876314 98790496054 101958127190 124090501141 148185744081 152937190785 246976240135 248181002282 296371488162 305874381570 372271503423 493952480270 620452505705 740928720405 744543006846 1240905011410 1481857440810 1861357517115 3722715034230 5087710546781 10175421093562 15263131640343 25438552733905 30526263280686 50877105467810 76315658201715 152631316403430