Search a number
-
+
141235350022520 = 2351313120291021849
BaseRepresentation
bin100000000111001111101010…
…110111100010100101111000
3200112001222010101020212010222
4200013033222313202211320
5122002444444101210040
61220214342445155212
741514626431155215
oct4007175267424570
9615058111225128
10141235350022520
11410026370a9486
1213a10434b5bb08
1360a65898b25a0
1426c3b825d6b0c
15114dcc7847bb5
hex8073eade2978

141235350022520 has 128 divisors (see below), whose sum is σ = 345006806760000. Its totient is φ = 51724801290240.

The previous prime is 141235350022471. The next prime is 141235350022537. The reversal of 141235350022520 is 25220053532141.

141235350022520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137704556 + ... + 138726404.

Almost surely, 2141235350022520 is an apocalyptic number.

141235350022520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141235350022520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172503403380000).

141235350022520 is an abundant number, since it is smaller than the sum of its proper divisors (203771456737480).

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

141235350022520 is a wasteful number, since it uses less digits than its factorization.

141235350022520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024033 (or 1024029 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 141235350022520 in words is "one hundred forty-one trillion, two hundred thirty-five billion, three hundred fifty million, twenty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 260 262 520 524 655 1048 1310 1703 2029 2620 3406 4058 5240 6812 8116 8515 10145 13624 16232 17030 20290 26377 34060 40580 52754 68120 81160 105508 131885 211016 263770 265799 527540 531598 1021849 1055080 1063196 1328995 2043698 2126392 2657990 3455387 4087396 5109245 5315980 6910774 8174792 10218490 10631960 13284037 13821548 17276935 20436980 26568074 27643096 34553870 40873960 53136148 66420185 69107740 106272296 132840370 133862219 138215480 265680740 267724438 531361480 535448876 669311095 1070897752 1338622190 1740208847 2073331621 2677244380 3480417694 4146663242 5354488760 6960835388 8293326484 8701044235 10366658105 13921670776 16586652968 17402088470 20733316210 26953311073 34804176940 41466632420 53906622146 69608353880 82933264840 107813244292 134766555365 215626488584 269533110730 271606442351 539066221460 543212884702 1078132442920 1086425769404 1358032211755 2172851538808 2716064423510 3530883750563 5432128847020 7061767501126 10864257694040 14123535002252 17654418752815 28247070004504 35308837505630 70617675011260 141235350022520