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354232143142240 = 255111711839309597
BaseRepresentation
bin101000010001011000001100…
…1000011110101110101100000
31201110020021002010002001021011
41100202300121003311311200
5332412214412121022430
63253220000000510304
7134420266505320306
oct12042603103656540
91643207063061234
10354232143142240
11a296200aa99940
123389069001b394
1312286c4231c47c
146368cda386276
152ae45ce76222a
hex1422c190f5d60

354232143142240 has 96 divisors (see below), whose sum is σ = 966655950057504. Its totient is φ = 121234530263040.

The previous prime is 354232143142237. The next prime is 354232143142307. The reversal of 354232143142240 is 42241341232453.

It is a super-3 number, since 3×3542321431422403 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 354232143142193 and 354232143142202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5919624879 + ... + 5919684718.

It is an arithmetic number, because the mean of its divisors is an integer number (10069332813099).

Almost surely, 2354232143142240 is an apocalyptic number.

It is an amenable number.

354232143142240 is an abundant number, since it is smaller than the sum of its proper divisors (612423806915264).

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

354232143142240 is a wasteful number, since it uses less digits than its factorization.

354232143142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11839309640 (or 11839309632 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 354232143142240 its reverse (42241341232453), we get a palindrome (396473484374693).

The spelling of 354232143142240 in words is "three hundred fifty-four trillion, two hundred thirty-two billion, one hundred forty-three million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 11839309597 23678619194 47357238388 59196547985 94714476776 118393095970 130232405567 189428953552 201268263149 236786191940 260464811134 378857907104 402536526298 473572383880 520929622268 651162027835 805073052596 947144767760 1006341315745 1041859244536 1302324055670 1610146105192 1894289535520 2012682631490 2083718489072 2213950894639 2604648111340 3220292210384 4025365262980 4167436978144 4427901789278 5209296222680 6440584420768 8050730525960 8855803578556 10418592445360 11069754473195 16101461051920 17711607157112 20837184890720 22139508946390 32202922103840 35423214314224 44279017892780 70846428628448 88558035785560 177116071571120 354232143142240