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23141323652148 = 223213331927716103
BaseRepresentation
bin1010100001100000000100…
…11000000011110000110100
310000221021210122010011020200
411100300002120003300310
511013121412323332043
6121114551034000500
74605622400345322
oct520600230036064
9100837718104220
1023141323652148
1174121a89aa349
122718b3a576130
13cbb2a99a2440
145a009049cd12
152a1e5b60e7d3
hex150c02603c34

23141323652148 has 144 divisors (see below), whose sum is σ = 63196880562816. Its totient is φ = 7097689463040.

The previous prime is 23141323652147. The next prime is 23141323652149. The reversal of 23141323652148 is 84125632314132.

23141323652148 is a `hidden beast` number, since 2 + 3 + 1 + 41 + 32 + 365 + 214 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (23141323652147) and next prime (23141323652149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141323652147) 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, 1437073465 + ... + 1437089567.

Almost surely, 223141323652148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141323652148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31598440281408).

23141323652148 is an abundant number, since it is smaller than the sum of its proper divisors (40055556910668).

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

23141323652148 is a wasteful number, since it uses less digits than its factorization.

23141323652148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25734 (or 25729 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 23141323652148 in words is "twenty-three trillion, one hundred forty-one billion, three hundred twenty-three million, six hundred fifty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 331 468 662 993 1324 1986 2979 3972 4303 5958 8606 9277 11916 12909 16103 17212 18554 25818 27831 32206 37108 38727 48309 51636 55662 64412 77454 83493 96618 111324 120601 144927 154908 166986 193236 209339 241202 289854 333972 361803 418678 482404 579708 628017 723606 837356 1085409 1256034 1447212 1884051 2170818 2512068 3070687 3768102 4341636 5330093 6141374 7536204 9212061 10660186 12282748 15990279 18424122 21320372 27636183 31980558 36848244 39918931 47970837 55272366 63961116 69291209 79837862 95941674 110544732 119756793 138582418 149387531 159675724 191883348 207873627 239513586 277164836 298775062 359270379 415747254 448162593 479027172 597550124 623620881 718540758 831494508 896325186 1247241762 1344487779 1437081516 1792650372 1942037903 2494483524 2688975558 3884075806 5377951116 5826113709 7768151612 11652227418 17478341127 23304454836 34956682254 49447272761 69913364508 98894545522 148341818283 197789091044 296683636566 445025454849 593367273132 642814545893 890050909698 1285629091786 1780101819396 1928443637679 2571258183572 3856887275358 5785330913037 7713774550716 11570661826074 23141323652148