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2414121602152 = 2313229311986199
BaseRepresentation
bin100011001000010100110…
…111000100110001101000
322112210021021200221022211
4203020110313010301220
5304023110112232102
65045010540054504
7336262120020601
oct43102467046150
98483237627284
102414121602152
11850906787967
1232ba58534434
1314685c749800
1484bb6340da8
1542be45297d7
hex23214dc4c68

2414121602152 has 96 divisors (see below), whose sum is σ = 5234034240000. Its totient is φ = 1041085543680.

The previous prime is 2414121602141. The next prime is 2414121602177. The reversal of 2414121602152 is 2512061214142.

It is a super-2 number, since 2×24141216021522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 222349 + ... + 2208547.

It is an arithmetic number, because the mean of its divisors is an integer number (54521190000).

Almost surely, 22414121602152 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 2414121602152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617017120000).

2414121602152 is an abundant number, since it is smaller than the sum of its proper divisors (2819912637848).

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

2414121602152 is a wasteful number, since it uses less digits than its factorization.

2414121602152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986291 (or 1986274 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 2414121602152 its reverse (2512061214142), we get a palindrome (4926182816294).

The spelling of 2414121602152 in words is "two trillion, four hundred fourteen billion, one hundred twenty-one million, six hundred two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 31 52 58 62 104 116 124 169 232 248 338 377 403 676 754 806 899 1352 1508 1612 1798 3016 3224 3596 4901 5239 7192 9802 10478 11687 19604 20956 23374 39208 41912 46748 93496 151931 303862 607724 1215448 1986199 3972398 7944796 15889592 25820587 51641174 57599771 61572169 103282348 115199542 123144338 206564696 230399084 246288676 335667631 460798168 492577352 671335262 748797023 800438197 1342670524 1497594046 1600876394 1785592901 2685341048 2995188092 3201752788 3571185802 5990376184 6403505576 7142371604 9734361299 10405696561 14284743208 19468722598 20811393122 23212707713 38937445196 41622786244 46425415426 77874890392 83245572488 92850830852 185701661704 301765200269 603530400538 1207060801076 2414121602152